practice and homework 8.4

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8.4: Homework

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• Page ID 70331

• Julie Harland
• MiraCosta College

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• Submit homework separately from this workbook and staple all pages together. (One staple for the entire submission of all the unit homework)
• Start a new module on the front side of a new page and write the module number on the top center of the page.
• Answers without supporting work will receive no credit.
• Some solutions are given in the solutions manual.
• You may work with classmates but do your own work.

Find GCF(252, 350) using:

Find GCF(140, 315) using:

Use the Euclidean Algorithm to compute the greatest common factor of the numbers given. Use correct notation, and show each step. Then, show how you check your answer. Also, compute the LCM of the two numbers.

State whether each of the following statements is true or false. If it is false, provide a counterexample. If it is true, provide an example.

a. If (a + b)|c, then a|c and b|c

b. If a|b and a|c, then a|(bc)

c. If a|b and a|(b + c), then a|c

d. If a|bc, then a|b and a|c

e. If a|b and a|c, then a|(b + c)

Write the prime factorization for the following numbers. If it is prime, write "prime" and explain how you know it is prime.

Assume m and n are composite whole numbers in each of the following. Find the following. Then provide an example using numbers for m (and n where used). Remember not to use prime numbers in your example.

a. GCF(m,m) =

b. LCM(m,m) =

c. GCF(m,0) =

d. GCF(m,1) =

e. If GCF(m,n) = 1, then LCM(m,n) =

f. If GCF(m,n) = m, then LCM(m,n) =

g. If LCM(m,n) = mn, then GCF(m,n) =

Find the following sums using methods from this module: Show all work

a. 1 + 2 + 3 + . . . + 313 + 314 + 315 =

b. 111 + 112 + 113 + . . . + 287 + 288 + 289 =

c. 15 + 30 + 45 + . . . + 900 + 915 + 930 =

d. 102 + 105 + 108 + . . . + 300 + 303 + 306 =

On each number line, state all whole number possibilities less than 100 that the man could be standing on.

The factors of a number that are less than the number itself are called proper factors . For instance, the proper factors of 10 are 1, 2 and 5. A number is classified as deficient if the sum of its proper factors is less than the number itself. 10 is a deficient number since 1 + 2 + 5 < 10. A number is classified as abundant if the sum of its proper factors is greater than the number itself. For instance, the proper factors of 18 are 1, 2, 3, 6, and 9. 18 is a deficient number since 1 + 2 + 3 + 6 + 9 > 18. A number is classified as perfect if the sum of its proper factors equals the number itself. For each number, list its proper factors. Then find the sum of its proper factors. Then, classify each number as deficient, abundant or perfect.

Are prime numbers deficient, perfect, or abundant? ________ Explain why.

Answer true or false for each of the following. If it is true, provide an example. If it is false, provide a counterexample.

a. Every prime number is odd.

b. If a number is divisible by 6, then it is divisible by 2 and 3.

c. If a number is divisible by 2 and 6, then it is divisible by 12.

d. If a number is divisible by 3 and 4, then it is divisible by 12.

e. If a \(\neq\) b, then GCF(a, b) < LCM(a, b).

f. If 6 is a factor of mn, then 6 is a factor of m or a factor of n.

g. If 5 is a factor of mn, then 5 is a factor of m or a factor of n.

Can the sum of two odd prime numbers be a prime number? Explain why or why not.

Find the least common multiple of the following sets of numbers:

a. LCM(2, 4, 5, 7, 8, 12, 14, 15)

b. LCM(3, 4, 6, 8, 9, 10, 12, 18)

If GCF(30, x) = 6 and LCM(30, x) = 180, then what is x? (Hint: see page 65)

The theory of biorhythm states that your physical cycle is 23 days long, your emotional cycle is 28 days long, your intellectual cycle is 33 days long. If your cycles all occur on the same day, how many days until your cycles again occur on the same day? About how many years is this?

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Explanation:

\(5\times\frac{4}{8}=\)

\(4\times\frac{6}{12}=\)

\(2\times\frac{3}{4}=\)

\(6\times\frac{3}{5}\)

\(7\times\frac{2}{10}=\)

Multiply. Write the product as a mixed number.

\(4\times\frac{8}{10}=\)

\(3\times\frac{5}{6}=\)

\(2\times3\frac{1}{3}=\)

\(4\times2\frac{2}{5}=\)

\(5\times1\frac{7}{8}=\)

\(3\times3\frac{3}{4}=\)

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Go Math Grade 4 Chapter 8 Answer Key Pdf Multiply Fractions by Whole Numbers

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Lesson 1: Multiples of Unit Fractions

• Multiples of Unit Fractions – Page No. 459
• Multiples of Unit Fractions Lesson Check – Page No. 460

Lesson 2: Multiples of Fractions

• Multiples of Fractions – Page No. 463
• Multiples of Fractions Lesson Check – Page No. 464
• Multiples of Fractions Lesson Check 1 – Page No. 465
• Multiples of Fractions Lesson Check 2 – Page No. 466

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint – Page No. 467
• Mid-Chapter Checkpoint Lesson Check – Page No. 468

Lesson 3: Multiply a Fraction by a Whole Number Using Models

• Multiply a Fraction by a Whole Number Using Models – Page No. 471
• Multiply a Fraction by a Whole Number Using Models Lesson Check – Page No. 472
• Multiply a Fraction by a Whole Number Using Models Lesson Check 1 – Page No. 473
• Multiply a Fraction by a Whole Number Using Models Lesson Check 2 – Page No. 474

Lesson 4: Multiply a Fraction or Mixed Number by a Whole Number

• Multiply a Fraction or Mixed Number by a Whole Number – Page No. 477
• Multiply a Fraction or Mixed Number by a Whole Number Lesson Check – Page No. 478
• Multiply a Fraction or Mixed Number by a Whole Number Lesson Check 1 – Page No. 479
• Multiply a Fraction or Mixed Number by a Whole Number Lesson Check 2- Page No. 480

Lesson 5: Problem Solving • Comparison Problems with Fractions

• Comparison Problems with Fractions – Page No. 483
• Comparison Problems with Fractions Lesson Check – Page No. 484
• Comparison Problems with Fractions Lesson Check 1 – Page No. 485
• Comparison Problems with Fractions Lesson Check 2 – Page No. 486

Review/Test

• Review/Test – Page No. 487
• Review/Test – Page No. 488
• Review/Test – Page No. 489
• Review/Test – Page No. 490
• Review/Test – Page No. 491
• Review/Test – Page No. 492
• Review/Test – Page No. 497
• Review/Test – Page No. 498

Common Core – New – Page No. 459

Multiples of Unit Fractions

Write the fraction as a product of a whole number and a unit fraction.

Answer: 5 x 1/6

Explanation: Given that 5/6 or 5 sixth-size parts. Each sixth-size part of the given fraction can be shown by the unit fraction 1/6. You can use unit fractions to show 5/6 5/6 = 5 x 1/6.

Question 2. \(\frac{7}{8}\) = Type below: __________

Answer: 7 x 1/8

Explanation: Given that 7/8 or 7 eighth-size parts. Each eighth-size part of the given fraction can be shown by the unit fraction 1/8. You can use unit fractions to show 7/8 7/8 = 7 x 1/8.

Question 3. \(\frac{5}{3}\) = Type below: __________

Answer: 5 x 1/3

Explanation: Given that 5/3 or 5 third-size parts. Each third-size part of the given fraction can be shown by the unit fraction 1/3. You can use unit fractions to show 5/6 5/3 = 5 x 1/3.

Go Math Grade 4 Chapter 8 Lesson 8.1 Answer Key Question 4. \(\frac{9}{10}\) = Type below: __________

Answer: 9 x 1/10

Explanation: Given that 9/10 or 9-tenth-size parts. Each tenth-size part of the given fraction can be shown by the unit fraction 1/10. You can use unit fractions to show 9/10 9/10 = 9 x 1/10.

Question 5. \(\frac{3}{4}\) = Type below: __________

Answer: 3 x 1/4

Explanation: Given that 3/4 or 3 fourth-size parts. Each fourth-size part of the given fraction can be shown by the unit fraction 1/4. You can use unit fractions to show 5/6 3/4 = 3 x 1/4.

Question 6. \(\frac{11}{12}\) = Type below: __________

Answer: 11 x 1/12

Explanation: Given that 11/12 or 11 twelve-size parts. Each twelve-size part of the given fraction can be shown by the unit fraction 1/12. You can use unit fractions to show 5/6 11/12 = 11 x 1/12.

Question 7. \(\frac{4}{6}\) = Type below: __________

Answer: 4 x 1/6

Explanation: Given that 4/6 or 4 sixth-size parts. Each sixth-size part of the given fraction can be shown by the unit fraction 1/6. You can use unit fractions to show 4/6 4/6 = 4 x 1/6.

Question 8. \(\frac{8}{20}\) = Type below: __________

Answer: 8 x 1/20

Explanation: Given that 8/20 or 8 twenty-size parts. Each twenty-size part of the given fraction can be shown by the unit fraction 1/20. You can use unit fractions to show 8/20 8/20 = 8 x 1/20.

Question 9. \(\frac{13}{100}\) = Type below: __________

Answer: 13 x 1/100

Explanation: Given that 13/100 or 13 hundred-size parts. Each hundred-size part of the given fraction can be shown by the unit fraction 1/100. You can use unit fractions to show 13/100 13/100 = 13 x 1/100.

List the next four multiples of the unit fraction.

Question 10. \(\frac{1}{5}\) , Type below: __________

Answer: 2/5, 3/5, 4/5, 5/5

Question 11. \(\frac{1}{8}\) , Type below: __________

Answer: 2/8, 3/8, 4/8, 5/8

Problem Solving

Question 12. So far, Monica has read \(\frac{5}{6}\) of a book. She has read the same number of pages each day for 5 days. What fraction of the book does Monica read each day? \(\frac{□}{□}\) of the book

Answer: 1/6 of the book

Explanation: Monica has read 5/6 of a book. She has read the same number of pages each day for 5 days. For 1 day, she read one page. In total, she read 5 pages in 5 days. So, Monica read 1/6 of a book each day.

Question 13. Nicholas buys \(\frac{3}{8}\) pound of cheese. He puts the same amount of cheese on 3 sandwiches. How much cheese does Nicholas put on each sandwich? \(\frac{□}{□}\) pound of cheese

Answer: 1/8 pound of cheese

Explanation: Nicholas buys 3/8 pound of cheese. He bought 3 sandwiches. Then, he applied 3/8 pound of cheese on 3 sandwiches. So, 3 x 1/8 cheese he put on 3 sandwiches. So, for one sandwich he put 1/8 pound of cheese.

Common Core – New – Page No. 460

Lesson Check

Question 1. Selena walks from home to school each morning and back home each afternoon. Altogether, she walks \(\frac{2}{3}\) mile each day. How far does Selena live from school? Options: a. \(\frac{1}{3}\) mile b. \(\frac{2}{3}\) mile c. 1 \(\frac{1}{3}\) mile d. 2 miles

Answer: a. \(\frac{1}{3}\) mile

Explanation: Selena walks from home to school each morning and back home each afternoon. Altogether, she walks 2/3 miles each day. The distance between home and school will remain the same. So, 2/3 x 1/2 = 1/3 mile far Selena live from the school.

Go Math Lesson 8.1 4th Grade Question 2. Will uses \(\frac{3}{4}\) cup of olive oil to make 3 batches of salad dressing. How much oil does Will use for one batch of salad dressing? Options: a. \(\frac{1}{4}\) cup b. \(\frac{1}{3}\) cup c. 2 \(\frac{1}{3}\) cups d. 3 cups

Answer: 1/8 pound of cheesa. \(\frac{1}{4}\) cup

Explanation: Will uses 34 cups of olive oil to make 3 batches of salad dressing. To know the one batch of salad dressing, we need to take one part of salad dressing = 1/3. So, 3/4 x 1/3 = 1/4 cup of olive oil will use for one batch of salad dressing.

Spiral Review

Question 3. Liza bought \(\frac{5}{8}\) pound of trail mix. She gives \(\frac{2}{8}\) pound of trail mix to Michael. How much trail mix does Liza have left? Options: a. \(\frac{1}{8}\) pound b. \(\frac{2}{8}\) pound c. \(\frac{3}{8}\) pound d. \(\frac{4}{8}\) pound

Answer: c. \(\frac{3}{8}\) pound

Explanation: Liza bought 58 pound of trail mix. She gives 28 pound of trail mix to Michael. So, Liza have left 5/8 – 2/8 = 3/8 trail mix.

Question 4. Leigh has a piece of rope that is 6 \(\frac{2}{3}\) feet long. How do you write 6 \(\frac{2}{3}\) as a fraction greater than 1? Options: a. \(\frac{11}{3}\) b. \(\frac{15}{3}\) c. \(\frac{20}{3}\) d. \(\frac{62}{3}\)

Answer: c. \(\frac{20}{3}\)

Explanation: Multiply the denominator with the whole number. i.e Multiply 3 with 6 in the given example, 6 (2/3). 3 x 6 =18. Add 18 + 2 =20. Keep the Denominator the same i.e. 3. The obtained fraction is 20/3.

Question 5. Randy’s house number is a composite number. Which of the following could be Randy’s house number? Options: a. 29 b. 39 c. 59 d. 79

Answer: b. 39

Explanation: The composite numbers can be defined as whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers because they are divisible by more than two numbers. 39 is the composite number. 39 is divided by 13 and 3.

Question 6. Mindy buys 12 cupcakes. Nine of the cupcakes have chocolate frosting and the rest have vanilla frosting. What fraction of the cupcakes have vanilla frosting? Options: a. \(\frac{1}{4}\) b. \(\frac{1}{3}\) c. \(\frac{2}{3}\) d. \(\frac{3}{4}\)

Answer: a. \(\frac{1}{4}\)

Explanation: Mindy buys 12 cupcakes. Nine of the cupcakes have chocolate frosting = 9/12. The rest have vanilla frosting. So, there are 3 cups remaining = 3/12 = 1/4. 1/4 cupcakes have vanilla frosting.

Page No. 463

Answer: 3/8, 6/8, 9/8, 12/8.

Explanation: 1 x 3/8 = 3/8. 2 x 3/8 = 6/8. 3 x 3/8 = 9/8. 4 x 3/8 = 12/8. Multiples of 3/8 are 3/8, 6/8, 9/8, 12/8.

List the next four multiples of the fraction.

Question 2. \(\frac{3}{6}\) , Type below: __________

Answer: 6/6, 9/6, 12/6, 20/6

Explanation: 1 x 3/6 = 3/6. 2 x 3/6 = 6/6. 3 x 3/6 = 9/6. 4 x 3/6 = 12/6. 5 x 4/6 = 20/6. Next four multiples of 3/6 are 6/6, 9/6, 12/6, 20/6.

Question 3. \(\frac{2}{10}\) , Type below: __________

Answer: 4/10, 6/10, 8/10, 10/10

Explanation: 1 x 2/10 = 2/10. 2 x 2/10 = 4/10. 3 x 2/10 = 6/10. 4 x 2/10 = 8/10. 5 x 2/10 = 10/10. The next four multiples of 2/10 are 4/10, 6/10, 8/10, 10/10.

Write the product as the product of a whole number and a unit fraction.

Answer: 9/4 = 9 x 1/4

Explanation: 1 group of 3/4 = 3/4 2 groups of 3/4 = 6/4 3 groups of 3/4 = 9/4 3 x 3/4 = 9/4.

Answer: 8/6 = 8 x 1/6

Explanation: 1 group of 4/6 = 4/6 2 groups of 4/6 = 8/6 2 x 4/6 = 8/6 = 8 x 1/6.

Question 6. \(\frac{4}{5}\) , Type below: __________

Answer: 8/5, 12/5, 16/5, 20/5

Explanation: 1 x 4/5 = 4/5. 2 x 4/5 = 8/5. 3 x 4/5 = 12/5. 4 x 4/5 = 16/5. 5 x 4/5 = 20/5. The next four multiples of 4/5 are 8/5, 12/5, 16/5, 20/5.

Question 7. \(\frac{2}{4}\) , Type below: __________

Answer: 4/4, 6/4, 8/4, 10/4

Explanation: 1 x 2/4 = 2/4. 2 x 2/4 = 4/4. 3 x 2/4 = 6/4. 4 x 2/4 = 8/4. 5 x 2/4 = 10/4. The next four multiples of 2/4 are 4/4, 6/4, 8/4, 10/4.

Answer: 8/8 = 8 x 1/8

Explanation: 1 group of 2/8 = 2/8 2 groups of 2/8 = 4/8 3 groups of 2/8 = 6/8 4 groups of 2/8 = 8/8 4 x 2/8 = 8/8 = 8 x 1/8.

Answer: 9/5 = 9 x 1/5

Explanation: 1 group of 3/5 = 3/5 2 groups of 3/5 = 6/5 3 groups of 3/5 = 9/5 3 x 3/5 = 9/5 = 9 x 1/5.

Question 10. Use Repeated Reasoning Are \(\frac{6}{10}\) and \(\frac{6}{30}\) multiples of \(\frac{3}{10}\)? Explain. Type below: __________

Answer: 3/30

Explanation: Use Repeated Reasoning Are 6/10 and 6/30 multiples of 3/10 and 3/30.

Question 11. Which is greater, 4 × \(\frac{2}{7}\) or 3 × \(\frac{3}{7}\)? Explain. 4 × \(\frac{2}{7}\) _____ 3 × \(\frac{3}{7}\)

Answer: 4 × \(\frac{2}{7}\) __<___ 3 × \(\frac{3}{7}\)

Explanation: 8/7 < 9/7 So, 4 x 2/7 < 3 x 3/7

Page No. 464

Answer: We need to find how many times Josh needs to fill his watering can to water both plants.

Question 12. b. What information do you need to use? Type below: __________

Answer: Use the Number of plants = 2. He gives each plant a 3/5 pint of water. His watering can hold 1/5 pint.

Question 12. c. How can drawing a model help you solve the problem? Type below: __________

Question 12. d. Show the steps you use to solve the problem. Type below: __________

Answer: If Josh gives each plant 3/5 pint, then that’s a total of 6/5 pint. 6/5 = 6 x 1/5.

Question 12. e. Complete the sentence. Josh will fill his watering can ____ times. ____ times

Answer: Josh will fill his watering can 6 times.

Answer: 12 times

Explanation: Alma is making 3 batches of tortillas. She adds a 3/4 cup of water to each batch. The measuring cup holds 1/4 cup. Alma must measure 1/4 cup 12 times.

Common Core – New – Page No. 465

Multiples of Fractions

Question 1. \(\frac{3}{5}\) , Type below: __________

Answer: 6/5, 9/5, 12/5, 20/5

Explanation: 1 x 3/5 = 3/5. 2 x 3/5 = 6/5. 3 x 3/5 = 9/5. 4 x 3/5 = 12/5. 5 x 4/5 = 20/5. The next four multiples of 3/5 are 6/5, 9/5, 12/5, 20/5.

Question 2. \(\frac{2}{6}\) , Type below: __________

Answer: 4/6, 6/6, 8/6, 10/6

Explanation: 1 x 2/6 = 2/6. 2 x 2/6 = 4/6. 3 x 2/6 = 6/6. 4 x 2/6 = 8/6. 5 x 2/6 = 10/6. The next four multiples of 2/6 are 4/6, 6/6, 8/6, 10/6.

Question 3. \(\frac{4}{8}\) , Type below: __________

Answer: 8/8, 12/8, 16/8, 20/8

Explanation: 1 x 4/8 = 4/8. 2 x 4/8 = 8/8. 3 x 4/8 = 12/8. 4 x 4/8 = 16/8. 5 x 4/8 = 20/8. The next four multiples of 4/8 are 8/8, 12/8, 16/8, 20/8.

Question 4. \(\frac{5}{10}\) , Type below: __________

Answer: 10/10, 15/10, 20/10, 25/10

Explanation: 1 x 5/10 = 5/10. 2 x 5/10 = 10/10. 3 x 5/10 = 15/10. 4 x 5/10 = 20/10. 5 x 5/10 = 25/10. The next four multiples of 5/10 are 10/10, 15/10, 20/10, 25/10.

Answer: 8/5 = 8 x 1/5

Explanation: 1 group of 4/5 = 4/5 2 groups of 4/5 = 8/5 2 x 4/5 = 8/5 = 8 x 1/5.

Answer: 10/3 = 10 x 1/3

Explanation: 1 group of 2/3 = 2/3 2 group of 2/3 = 4/3 3 group of 2/3 = 6/3 4 group of 2/3 = 8/3 5 group of 2/3 = 10/3 5 x 2/3 = 10/3 = 10 x 1/3.

Question 7. Jessica is making 2 loaves of banana bread. She needs \(\frac{3}{4}\) cup of sugar for each loaf. Her measuring cup can only hold \(\frac{1}{4}\) cup of sugar. How many times will Jessica need to fill the measuring cup in order to get enough sugar for both loaves of bread? _____ times

Answer: 6 times

Explanation: Jessica is making 2 loaves of banana bread. She needs a 3/4 cup of sugar for each loaf. For 2 loaves, she needs 2 x 3/4 = 6/4 cups of sugar. Her measuring cup can only hold 1/4 cup of sugar. So, to get the 3/4 cup of sugar, she needs to fill the cup 3 times. 1/4 + 1/4 + 1/4 = 3/4. So, to fill 2 loaves, she needs to fill cup 3 x 2 = 6 times.

Question 8. A group of four students is performing an experiment with salt. Each student must add \(\frac{3}{8}\) teaspoon of salt to a solution. The group only has a \(\frac{1}{8}\) teaspoon measuring spoon. How many times will the group need to fill the measuring spoon in order to perform the experiment? _____ times

Explanation: A group of four students is performing an experiment with salt. Each student must add a 3/8 teaspoon of salt to a solution. 4 x 3/8 = 12/8 teaspoon of salt required to finish the experiment. If they have 1/8 teaspoon measuring spoon, 12 x 1/8. So, the group needs to fill the measuring spoon 12 times in order to perform the experiment.

Common Core – New – Page No. 466

Question 1. Eloise made a list of some multiples of \(\frac{5}{8}\). Which of the following lists could be Eloise’s list? Options: a. \(\frac{5}{8}, \frac{10}{16}, \frac{15}{24}, \frac{20}{32}, \frac{25}{40}\) b. \(\frac{5}{8}, \frac{10}{8}, \frac{15}{8}, \frac{20}{8}, \frac{25}{8}\) c. \(\frac{5}{8}, \frac{6}{8}, \frac{7}{8}, \frac{8}{8}, \frac{9}{8}\) d. \(\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{4}{8}, \frac{5}{8}\)

Answer: b. \(\frac{5}{8}, \frac{10}{8}, \frac{15}{8}, \frac{20}{8}, \frac{25}{8}\)

Explanation: 1 x 5/8 = 5/8. 2 x 5/8 = 10/8. 3 x 5/8 = 15/8. 4 x 5/8 = 20/8. 5 x 5/8 = 25/8. The next four multiples of 5/8 are 10/8, 15/8, 20/8, 25/8.

Go Math Workbook Grade 4 Pdf Multiples of Fractions Lesson 8.2 Question 2. David is filling five \(\frac{3}{4}\) quart bottles with a sports drink. His measuring cup only holds \(\frac{1}{4}\) quart. How many times will David need to fill the measuring cup in order to fill the 5 bottles? Options: a. 5 b. 10 c. 15 d. 20

Answer: c. 15

Explanation: David is filling five 3/4 quart bottles with a sports drink = 5 x 3/4 = 15/4. His measuring cup only holds 1/4 quart. So, 15 x 1/4. David needs to fill the measuring cup 15 times in order to fill the 5 bottles.

Question 3. Ira has 128 stamps in his stamp album. He has the same number of stamps on each of the 8 pages. How many stamps are on each page? Options: a. 12 b. 14 c. 16 d. 18

Answer: c. 16

Explanation: Ira has 128 stamps in his stamp album. He has the same number of stamps on each of the 8 pages. 128/8 = 16 stamps on each page.

Question 4. Ryan is saving up for a bike that costs $198. So far, he has saved $15 per week for the last 12 weeks. How much more money does Ryan need in order to be able to buy the bike? Options: a. $ 8 b. $ 18 c. $ 48 d. $ 180

Answer: b. $ 18

Explanation: Ryan is saving up for a bike that costs $198. So far, he has saved $15 per week for the last 12 weeks = $15 x 12 = $180. $198 – $180 = $18 needed in order to buy the bike.

Question 5. Tina buys 3 \(\frac{7}{8}\) yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 \(\frac{3}{8}\) yards of the fabric left over. How many yards of material did Tina use? Options: a. 1 \(\frac{4}{8}\) b. 2 \(\frac{1}{8}\) c. 2 \(\frac{4}{8}\) d. 5 \(\frac{2}{8}\)

Answer: c. 2 \(\frac{4}{8}\)

Explanation: Tina buys 3 7/8 yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 3/8 yards of the fabric left over. 3 -1 = 2; 7/8 – 3/8 = 4/8. So, the answer is 2 4/8.

Question 6. Which list shows the fractions in order from least to greatest? Options: a. \(\frac{2}{3}, \frac{3}{4}, \frac{7}{12}\) b. \(\frac{7}{12}, \frac{3}{4}, \frac{2}{3}\) c. \(\frac{3}{4}, \frac{2}{3}, \frac{7}{12}\) d. \(\frac{7}{12}, \frac{2}{3}, \frac{3}{4}\)

Answer: d. \(\frac{7}{12}, \frac{2}{3}, \frac{3}{4}\)

Explanation: 2/3 = 0.666 3/4 = 0.75 7/12 = 0.5833 7/12, 2/3, 3/4

Page No. 467

Question 1. A __________ of a number is the product of the number and a counting number. __________

Answer: Multiple

Question 2. A _________ always has a numerator of 1. _________

Answer: Unit Fraction

Question 3. \(\frac{1}{2}\) , Type below: _________

Answer: 2/2, 3/2, 4/2, 5/2

Explanation: 1 x 1/2 = 1/2. 2 x 1/2 = 2/2. 3 x 1/2 = 3/2. 4 x 1/2 = 4/2. 5 x 1/2 = 5/2. The next four multiples of 1/2 are 2/2, 3/2, 4/2, 5/2.

Question 4. \(\frac{1}{5}\) , Type below: _________

Explanation: 1 x 1/5 = 1/5. 2 x 1/5 = 2/5. 3 x 1/5 = 3/5. 4 x 1/5 = 4/5. 5 x 1/5 = 5/5. The next four multiples of 1/5 are 2/5, 3/5, 4/5, 5/5.

Question 5. \(\frac{4}{10}\) = _____ × \(\frac{1}{10}\)

Explanation: 4/10 = 4 x 1/10

Question 6. \(\frac{8}{12}\) = _____ × \(\frac{1}{12}\)

Explanation: 8/12 = 8 x 1/12

Question 7. \(\frac{3}{4}\) = _____ × \(\frac{1}{4}\)

Explanation: 3/4 = 3 x 1/4

Question 8. \(\frac{2}{5}\) , Type below: _________

Answer: 4/5, 6/5, 8/5, 10/5

Explanation: 1 x 2/5 = 1/5. 2 x 2/5 = 4/5. 3 x 2/5 = 6/5. 4 x 2/5 = 8/5. 5 x 2/5 = 10/5. The next four multiples of 1/5 are 4/5, 6/5, 8/5, 10/5.

Question 9. \(\frac{5}{6}\) , Type below: _________

Answer: 10/6, 15/6, 20/6, 25/6

Explanation: 1 x 5/6 = 5/6. 2 x 5/6 = 10/6. 3 x 5/6 = 15/6. 4 x 5/6 = 20/6. 5 x 5/6 = 25/6. The next four multiples of 5/6 are 10/6, 15/6, 20/6, 25/6.

Explanation: 1 group of 2/6 = 2/6 2 groups of 2/6 = 4/6 3 groups of 2/6 = 6/6 4 groups of 2/6 = 8/6 4 x 2/6 = 8/6 = 8 x 1/6.

Answer: 9/8 = 9 x 1/8

Explanation: 1 group of 3/8 = 3/8 2 groups of 3/8 = 6/8 3 groups of 3/8 = 9/8 3 x 3/8 = 9/8 = 9 x 1/8.

Page No. 468

Question 12. Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now \(\frac{8}{10}\) is left. Pedro wants to make a sign from each remaining part of the poster board. How many signs can he make? ______ signs

Answer: 8 signs

Explanation: Pedro cut a sheet of poster board into 10 equal parts. His brother uses some of the poster board and now an 8/10 is left. So, the remaining part of the b\poster board is 8/10 parts. Pedro can use 8/ 10 parts of the board to make signs. So, he can make 8 signs.

Question 13. Ella is making 3 batches of banana milkshakes. She needs \(\frac{3}{4}\) gallon of milk for each batch. Her measuring cup holds \(\frac{1}{4}\) gallon. How many times will she need to fill the measuring cup to make all 3 batches of milkshakes? ______ times

Answer: 9 times

Explanation: Ella is making 3 batches of banana milkshakes. She needs 3/4 gallon of milk for each batch. So, she needs 3 x 3/4 = 9/4 cups for 3 batches of banana milkshakes. Her measuring cup holds 1/4 gallon. 9/4 = 9 x 1/4. So, Ella needs to fill the measuring cup 9 times to make all 3 batches of milkshakes.

Question 14. Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now \(\frac{5}{8}\) is left. Darren wants to put each slice of the leftover pie on its own plate. What part of the pie will he put on each plate? \(\frac{□}{□}\) of the pie on each plate.

Answer: 5/8 of the pie on each plate

Explanation: Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now 5/8 is left. So, 5 pie slices leftover. Darren can put 5/8 parts of the pie on each plate.

Question 15. Beth is putting liquid fertilizer on the plants in 4 flowerpots. Her measuring spoon holds \(\frac{1}{8}\) teaspoon. The directions say to put \(\frac{5}{8}\) teaspoon of fertilizer in each pot. How many times will Beth need to fill the measuring spoon to fertilize the plants in the 4 pots? ______ times

Answer: 20 times

Explanation: Beth is putting liquid fertilizer on the plants in 4 flowerpots. Her measuring spoon holds 1/8 teaspoon. The directions say to put 5/8 teaspoons of fertilizer in each pot. So, 4 x 5/8 = 20/8. 20/8 = 20 x 1/8. Beth needs to fill the measuring spoon 20 times to fertilize the plants in the 4 pots.

Page No. 471

Question 1. Find the product of 3 × \(\frac{5}{8}\). 1 group of \(\frac{5}{8}\) = \(\frac{□}{8}\) 2 groups of \(\frac{5}{8}\) = \(\frac{□}{8}\) 3 groups of \(\frac{5}{8}\) = \(\frac{□}{8}\) 3 × \(\frac{5}{8}\) = \(\frac{□}{□}\)

Answer: 15/8

Explanation: 1 group of 5/8 = 2/8 2 groups of 5/8 = 4/8 3 groups of 5/8 = 6/8 3 x 5/8 = 15/8.

Question 2. 2 × \(\frac{4}{5}\) = \(\frac{□}{□}\)

Answer: 8/5

Explanation: 1 group of 4/5 = 4/5 2 groups of 4/5 = 8/5 2 x 4/5 = 8/5.

Question 3. 4 × \(\frac{2}{3}\) = \(\frac{□}{□}\)

Answer: 8/3

Explanation: 1 group of 2/3 = 2/3 2 groups of 2/3 = 4/3 3 groups of 2/3 = 6/3 4 groups of 2/3 = 8/3 4 x 2/3 = 8/3

Question 4. 5 × \(\frac{3}{10}\) = \(\frac{□}{□}\)

Answer: 15/10

Explanation: 1 group of 3/10 = 3/10 2 groups of 3/10 = 6/10 3 groups of 3/10 = 9/10 4 groups of 3/10 = 12/10 5 groups of 3/10 = 15/10 5 x 3/10 = 15/10

Question 5. 4 × \(\frac{5}{6}\) = \(\frac{□}{□}\)

Answer: 20/6

Explanation: 1 group of 5/6 = 5/6 2 groups of 5/6 = 10/6 3 groups of 5/6 = 15/6 4 groups of 5/6 = 20/6 4 x 5/6 = 20/6

Question 6. 2 × \(\frac{7}{12}\) = \(\frac{□}{□}\)

Answer: 7/6

Explanation: 1 group of 7/12 = 7/12 2 groups of 7/12 = 14/12 2 x 7/12 = 14/12 = 7/6

Question 7. 6 × \(\frac{3}{8}\) = \(\frac{□}{□}\)

Answer: 9/4

Explanation: 1 group of 3/8 = 3/8 2 groups of 3/8 = 6/8 3 groups of 3/8 = 9/8 4 groups of 3/8 = 12/8 5 groups of 3/8 = 15/8 6 groups of 3/8 = 18/8 6 x 3/8 = 18/8 = 9/4

Question 8. 5 × \(\frac{2}{4}\) = \(\frac{□}{□}\)

Answer: 5/2

Explanation: 1 group of 2/4 = 2/4 2 groups of 2/4 = 4/4 3 groups of 2/4 = 6/4 4 groups of 2/4 = 8/4 5 groups of 2/4 = 10/4 5 x 2/4 = 10/4 = 5/2

Question 9. 3 × \(\frac{4}{6}\) = \(\frac{□}{□}\)

Explanation: 1 group of 4/6 = 4/6 2 groups of 4/6 = 8/6 3 groups of 4/6 = 12/6 3 x 4/6 = 12/6 = 2

Question 10. 2 × \(\frac{5}{10}\) = \(\frac{□}{□}\)

Explanation: 1 group of 5/10 = 5/10 2 groups of 5/10 = 10/10 2 x 10/10 = 2 x 1 = 2

Question 11. 4 × \(\frac{2}{8}\) = \(\frac{□}{□}\)

Explanation: 1 group of 2/8 = 2/8 2 groups of 2/8 = 4/8 3 groups of 2/8 = 6/8 4 groups of 2/8 = 8/8 4 x 2/8 = 8/8 = 1

Look for a Pattern Algebra Write the unknown number.

Question 12. □ × \(\frac{2}{3}\) = \(\frac{12}{3}\) □ = ____

Explanation: Let the unknown number is s. s x 2/3 = 12/3 s = 12/3 x 3/2 = 6.

Question 13. 5 × \(\frac{□}{4}\) = \(\frac{10}{4}\) □ = ____

Explanation: Let the unknown number is s. 5 x s/4 = 10/4 5/4 x s = 10/4 s = 10/4 x 4/5 =2.

Question 14. 2 × \(\frac{7}{□}\) = \(\frac{14}{8}\) □ = ____

Explanation: Let the unknown number is s. 2 x 7/s = 14/8 14/s = 14/8 s x 14/8 = 14 s = 14 x 8/14 s = 8.

Page No. 472

Question 15. Lisa makes clothes for pets. She needs \(\frac{5}{6}\) yard of fabric to make 1 dog coat. How much fabric does she need to make 3 dog coats? a. What do you need to find? Type below: _________

Answer: The number of fabric yards required for 3 dog coats

Question 15. b. What information do you need? Type below: _________

Answer: How much she needs of fabric for 1 dog coat can help to find 3 dog coats.

Question 15. c. Show the steps you use to solve the problem. Type below: _________

Answer: Lisa makes clothes for pets. She needs a 5/6 yard of fabric to make 1 dog coat. For 3 dogs = 5/6 x 3 =5/2

Question 15. d. Complete the sentence. Lisa needs _____ yards of fabric to make 3 dog coats. \(\frac{□}{□}\)

Answer: Lisa needs a 5/2 yard of fabric to make 3 dog coats.

Go Math Grade 4 Chapter 8 Answer Key Pdf Question 16. Manuel’s small dog eats \(\frac{2}{4}\) bag of dog food in 1 month. His large dog eats \(\frac{3}{4}\) bag of dog food in 1 month. How many bags do both dogs eat in 6 months? \(\frac{□}{□}\) bags

Answer: 2 bags

Explanation: Manuel’s small dog eats a 2/4 bag of dog food in 1 month. His large dog eats a 3/4 bag of dog food in 1 month. In total 2/4 + 3/4 = 5/4 bag of dog food eaten in 1 month. So, for 6 months = 6 x 5/4 = 30/4 = 15/2. So, 2 bags are needed for 6 months.

Question 17. Select the correct product for the equation. 9 × \(\frac{2}{12}\) = □ 3 × \(\frac{6}{7}\) = □ 6 × \(\frac{4}{7}\) = □ 8 × \(\frac{3}{12}\) = □ Type below: _________

Answer: 8 × \(\frac{3}{12}\) = 2

Explanation: 9 × \(\frac{2}{12}\) = 3/2 3 × \(\frac{6}{7}\) = 18/7 6 × \(\frac{4}{7}\) = 24/7 8 × \(\frac{3}{12}\) = 2

Common Core – New – Page No. 473

Multiply a Fraction by a Whole Number Using Models

Question 2. 3 × \(\frac{2}{5}\) = \(\frac{□}{□}\)

Question 3. 7 × \(\frac{3}{10}\) = \(\frac{□}{□}\)

Question 4. 3 × \(\frac{5}{12}\) = \(\frac{□}{□}\)

Question 5. 6 × \(\frac{3}{4}\) = \(\frac{□}{□}\)

Question 6. 4 × \(\frac{2}{8}\) = \(\frac{□}{□}\)

Question 7. 5 × \(\frac{2}{3}\) = \(\frac{□}{□}\)

Question 8. 2 × \(\frac{7}{8}\) = \(\frac{□}{□}\)

Question 9. 6 × \(\frac{4}{5}\) = \(\frac{□}{□}\)

Question 10. Matthew walks \(\frac{5}{8}\) mile to the bus stop each morning. How far will he walk in 5 days? \(\frac{□}{□}\)

Answer: 25/8 miles

Explanation: Matthew walks 5/8 mile to the bus stop each morning. In 5 days, 5 x 5/8 = 25/8 miles.

Question 11. Emily uses \(\frac{2}{3}\) cup of milk to make one batch of muffins. How many cups of milk will Emily use if she makes 3 batches of muffins? \(\frac{□}{□}\)

Answer: 6/3 cups of milk

Explanation: Emily uses a 2/3 cup of milk to make one batch of muffins. Emily use 3 x 2/3 = 6/3 cups of milk to make 3 batches of muffins

Common Core – New – Page No. 474

Question 1. Aleta’s puppy gained \(\frac{3}{8}\) pound each week for 4 weeks. Altogether, how much weight did the puppy gain during the 4 weeks? Options: a. \(\frac{8}{12}\) pound b. 1 \(\frac{2}{8}\) pounds c. \(\frac{12}{8}\) pounds d. 4 \(\frac{3}{8}\) pounds

Explanation: Aleta’s puppy gained 3/8 pound each week. It gained 4 x 3/8 = 12/8 pounds in 4 weeks.

Question 2. Pedro mixes \(\frac{3}{4}\) teaspoon of plant food into each gallon of water. How many teaspoons of plant food should Pedro mix into 5 gallons of water? Options: a. \(\frac{3}{20}\) teaspoon b. \(\frac{4}{15}\) teaspoon c. \(\frac{8}{4}\) teaspoons d. \(\frac{15}{4}\) teaspoons

Answer: d. \(\frac{15}{4}\) teaspoons

Explanation: If Pedro mixes 3/4 teaspoon of plant food into each gallon of water, then 5 x 3/4 = 15/4 teaspoon of plant food mix into 5 gallons of water.

Question 3. Ivana has \(\frac{3}{4}\) pound of hamburger meat. She makes 3 hamburger patties. Each patty weighs the same amount. How much does each hamburger patty weigh? Options: a. \(\frac{1}{4}\) pound b. \(\frac{1}{3}\) pound c. 2 \(\frac{1}{4}\) pounds d. 3 pounds

Answer: a. \(\frac{1}{4}\) pound

Explanation: Ivana has 3/4 pound of hamburger meat. She makes 3 hamburger patties. Each patty weighs the same amount. So, each hamburger patty weight 1/4 pound.

Question 4. Which of the following expressions is NOT equal to \(\frac{7}{10}\)? Options: a. \(\frac{5}{10}+\frac{1}{10}+\frac{1}{10}\) b. \(\frac{2}{10}+\frac{2}{10}+\frac{3}{10}\) c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\) d. \(\frac{4}{10}+\frac{2}{10}+\frac{1}{10}\)

Answer: c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\)

Explanation: a. \(\frac{5}{10}+\frac{1}{10}+\frac{1}{10}\) = 7/10 b. \(\frac{2}{10}+\frac{2}{10}+\frac{3}{10}\) = 7/10 c. \(\frac{3}{10}+\frac{3}{10}+\frac{2}{10}\) = 8/10 d. \(\frac{4}{10}+\frac{2}{10}+\frac{1}{10}\) = 7/10

Question 5. Lance wants to find the total length of 3 boards. He uses the expression 3 \(\frac{1}{2}\) + (2 + 4 \(\frac{1}{2}\)). How can Lance rewrite the expression using both the Associative and Commutative Properties of Addition? Options: a. 5 + 4 \(\frac{1}{2}\) b. (3 \(\frac{1}{2}\) + 2) + 4 \(\frac{1}{2}\) c. 2 + (3 \(\frac{1}{2}\) + 4 \(\frac{1}{2}\)) d. 3 \(\frac{1}{2}\) + (4 \(\frac{1}{2}\) + 2)

Answer: She can write as (3 \(\frac{1}{2}\) + 2) + 4 \(\frac{1}{2}\)

Question 6. Which of the following statements is true? Options: a. \(\frac{5}{8}>\frac{9}{10}\) b. \(\frac{5}{12}>\frac{1}{3}\) c. \(\frac{3}{6}>\frac{4}{5}\) d. \(\frac{1}{2}>\frac{3}{4}\)

Explanation: 0.625 > 0.9 0.416 > 0.333 0.5 > 0.8 0.5 > 0.75

Page No. 477

Question 1. 2 × 3 \(\frac{2}{3}\) = □ _____ \(\frac{□}{□}\)

Answer: 7\(\frac{1}{3}\)

Explanation: 3 \(\frac{2}{3}\) = 11/3 2 x 11/3 = 22/3 22/3 = 7 and remainder 1. So, 22/3 = 7 (1/3)

Multiply. Write the product as a mixed number.

Question 2. 6 × \(\frac{2}{5}\) = _____ \(\frac{□}{□}\)

Answer: 2\(\frac{2}{5}\)

Explanation: 6 × \(\frac{2}{5}\) = 12/5. 12/5 = 2 and remainder. So, 12/5 = 2 2/5

Question 3. 3 × 2 \(\frac{3}{4}\) = _____ \(\frac{□}{□}\)

Answer: 8\(\frac{1}{4}\)

Explanation: 2 \(\frac{3}{4}\) = 11/4 3 x 11/4 = 33/4. 33/4 = 8 and the remainder 1. So, 33/4 = 8 1/4

Go Math 4th Grade Lesson 8.4 Homework Answer Key Question 4. 4 × 1 \(\frac{5}{6}\) = _____ \(\frac{□}{□}\)

Answer: 7 \(\frac{2}{6}\)

Explanation: 1 \(\frac{5}{6}\) = 11/6 4 x 11/6 = 44/6. 44/6 = 7 and the remainder 2. So, 44/6 = 7 2/6

Question 5. 4 × \(\frac{5}{8}\) = _____ \(\frac{□}{□}\)

Answer: 2\(\frac{1}{2}\)

Explanation: 4 × \(\frac{5}{8}\) = 5/2. 5/2 = 2 and remainder 1. So, 5/2 = 2 1/2

Question 6. 6 × \(\frac{5}{12}\) = _____ \(\frac{□}{□}\)

Explanation: 6 × \(\frac{5}{12}\) = 5/2. 5/2 = 2 and remainder 1. So, 5/2 = 2 1/2

Question 7. 3 × 3 \(\frac{1}{2}\) = _____ \(\frac{□}{□}\)

Answer: 10 \(\frac{1}{2}\)

Explanation: 3 \(\frac{1}{2}\) = 7/2 3 x 7/2 = 21/2. 21/2 = 10 and remainder 1. So, 21/2 = 10 1/2

Question 8. 2 × 2 \(\frac{2}{3}\) = _____ \(\frac{□}{□}\)

Answer: 5\(\frac{1}{3}\)

Explanation: 2 \(\frac{2}{3}\) = 8/3 2 x 8/3 = 16/3. 16/3 = 5 and remainder 1. So, 16/3 = 5 1/3

Question 9. 5 × 1 \(\frac{2}{4}\) = _____ \(\frac{□}{□}\)

Answer: 7 \(\frac{1}{2}\)

Explanation: 1 \(\frac{2}{4}\) = 6/4 5 x 6/4 = 30/4 = 15/2. 15/2 = 7 and remainder 1. So, 15/2 = 7 1/2

Question 10. 4 × 2 \(\frac{2}{5}\) = _____ \(\frac{□}{□}\)

Answer: 9\(\frac{3}{5}\)

Explanation: 2 \(\frac{2}{5}\) = 12/5 4 x 12/5 = 48/5. 48/5 = 9 and remainder 3. So, 48/5 = 9 3/5

Question 11. □ × 2 \(\frac{1}{3}\) = 9 \(\frac{1}{3}\) □ = ______

Explanation: 2 \(\frac{1}{3}\) = 7/3 9 \(\frac{1}{3}\) = 28/3 Let the unknown numer s. s x 7/3 = 28/3 s = 4

Question 12. 3 × 2 \(\frac{2}{□}\) = 7 \(\frac{2}{4}\) □ = ______

Explanation: 7 \(\frac{2}{4}\) = 30/4 Let the unknown number s. If s is 4, 3 × 2 \(\frac{2}{4}\) = 3 x 10/4 = 30/4. So, the unknown number is 4.

Question 13. 3 × □ \(\frac{3}{8}\) = 4 \(\frac{1}{8}\) □ = ______

Explanation: 4 \(\frac{1}{8}\) = 33/8 Let the unknown number is s. If s is 1, 3 × 1 \(\frac{3}{8}\) = 3 x 11/8 = 33/8.

Question 14. Describe two different ways to write \(\frac{7}{3}\) as a mixed number. Type below: _________

Answer: One is 2\(\frac{1}{3}\) Another one is 2 + 1/3

Explanation: 7/3 = 2 and the remainder is 1. So, 2 1/3 is one mixed fraction. Seond method is 3/3 + 3/3 + 1/3 = 2 + 1/3.

Page No. 478

Question 15. Otis plans to make 3 batches of sidewalk chalk. How much plaster of Paris does he need? ______ \(\frac{□}{□}\) cups plaster of Paris

Answer: 4\(\frac{1}{2}\) cups plaster of Paris

Explanation: 1\(\frac{1}{2}\) = 3/2 + 3/2 + 3/2 = 9/2 9/2 = 4, the remainder is 1. So, 4 1/2 cups plaster of Paris need for 3 batches of sidewalk chalk.

Question 16. What’s the Question? The answer is \(\frac{32}{3}\). Type below: _________

Answer: How many tablespoons of powdered paint are needed for 4 batches of chalk?

Question 17. Patty has 2 cups of warm water. Is that enough water to make 4 batches of sidewalk chalk? Explain how you know without finding the exact product. ______

Answer: No. 4 x 1/2 = 2 and also 3/4 is greater than 1/2. So, 4 x 3/4 is greater than 2.

Go Math Lesson 8.4 4th Grade Question 18. Rita makes sidewalk chalk 2 days a week. Each of those days, she spends 1 \(\frac{1}{4}\) hours making the chalk. How much time does Rita spend making sidewalk chalk in 3 weeks? ______ \(\frac{□}{□}\) hours

Answer: 7\(\frac{1}{2}\) hours

Explanation: Rita makes sidewalk chalk 2 days a week. Each of those days, she spends 1 1/4 hours making the chalk. 1 week = 2 x 5/4 = 10/4 = 5/2. 3 weeks = 3 x 5/2 = 15/2 = 7 1/2.

Question 19. Oliver has music lessons Monday, Wednesday, and Friday. Each lesson is \(\frac{3}{4}\) of an hour. Oliver says he will have lessons for 3 \(\frac{1}{2}\) hours this week. Without multiplying, explain how you know Oliver is incorrect. Type below: __________

Answer: 3/4 is less than 1, and 1 × 3 = 3. So 3/4 × 3 will also be less than 3. Oliver’s answer, 3 1/2 is greater than 3, so it is incorrect.

Common Core – New – Page No. 479

Multiply a Fraction or Mixed Number by a Whole Number.

Answer: 1\(\frac{5}{10}\)

Explanation: 5 x 3/10 = 15/10 = 1 and remainder is 5. So, the mixed fraction is 1 5/10

Question 2. 3 × \(\frac{3}{5}\) = ______ \(\frac{□}{□}\)

Answer: 1\(\frac{4}{5}\)

Explanation: 3 x 3/5 = 9/5 = 1 and remainder is 4. So, the mixed fraction is 1 4/5

Question 3. 5 × \(\frac{3}{4}\) = ______ \(\frac{□}{□}\)

Answer: 3\(\frac{3}{4}\)

Explanation: 15/4 = 3 and remainder is 3. So, the mixed fraction is 3 3/4

Question 4. 4 × 1 \(\frac{1}{5}\) = ______ \(\frac{□}{□}\)

Answer: 4\(\frac{4}{5}\)

Explanation: 1 \(\frac{1}{5}\) = 6/5. 4 x 6/5 = 24/5 = 4 and the remainder is 4. So, the mixed fraction is 4 4/5

Question 5. 2 × 2 \(\frac{1}{3}\) = ______ \(\frac{□}{□}\)

Answer: 4\(\frac{2}{3}\)

Explanation: 2 \(\frac{1}{3}\) = 7/3. 2 x 7/3 = 14/3. 14/3 = 4 and the remainder is 2. So, the mixed fraction is 4 2/3

Question 6. 5 × 1 \(\frac{1}{6}\) = ______ \(\frac{□}{□}\)

Answer: 5\(\frac{5}{6}\)

Explanation: 1 \(\frac{1}{6}\) = 7/6 5 x 7/6 = 35/6. 35/6 = 5 and the remainder is 5. So, the mixed fraction is 5 5/6

Question 7. 2 × 2 \(\frac{7}{8}\) = ______ \(\frac{□}{□}\)

Answer: 6\(\frac{1}{1}\)

Explanation: 2 \(\frac{7}{8}\) = 23/8 2 x 23/8 = 46/8 = 6 1/1

Question 8. 7 × 1 \(\frac{3}{4}\) = ______ \(\frac{□}{□}\)

Answer: 9\(\frac{3}{4}\)

Explanation: 1 \(\frac{3}{4}\) = 7/4 7 x 7/4 = 39/4 39/4 = 9 and the remainder is 3. So, the mixed fraction is 9 3/4

Question 9. 8 × 1 \(\frac{3}{5}\) = ______ \(\frac{□}{□}\)

Answer: 12\(\frac{4}{5}\)

Explanation: 1 \(\frac{3}{5}\) = 8/5 8 x 8/5 = 64/5 64/5 = 12 and the remainder is 4. So, the mixed fraction is 12 4/5

Question 10. Brielle exercises for \(\frac{3}{4}\) hour each day for 6 days in a row. Altogether, how many hours does she exercise during the 6 days? ______ \(\frac{□}{□}\)

Answer: 4\(\frac{2}{4}\)

Explanation: 6 x 3/4 = 18/4 = 4 and the remainder is 2. So, the mixed fraction is 4 2/4.

Question 11. A recipe for quinoa calls for 2 \(\frac{2}{3}\) cups of milk. Conner wants to make 4 batches of quinoa. How much milk does he need? ______ \(\frac{□}{□}\)

Answer: 10\(\frac{2}{3}\)

Explanation: quinoa calls for 8/3 cups of milk. Conner wants to make 4 batches of quinoa. So, 4 x 8/3 = 32/3 = 10 and the remainder is 2. So, the mixed fraction is 10 2/3

Common Core – New – Page No. 480

Question 1. A mother is 1 \(\frac{3}{4}\) times as tall as her son. Her son is 3 feet tall. How tall is the mother? Options: a. 4 \(\frac{3}{4}\) feet b. 5 \(\frac{1}{4}\) feet c. 5 \(\frac{1}{2}\) feet d. 5 \(\frac{3}{4}\) feet

Answer: b. 5 \(\frac{1}{4}\) feet

Explanation: A mother is 1 3/4 times as tall as her son. Her son is 3 feet tall. So, 3 x 7/4 = 21/4 = 5 and the remainder is 1. The mixed fraction is 5 1/4 feet.

Question 2. The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 \(\frac{1}{3}\) times the width of the banner. How long is the banner? Options: a. 8 \(\frac{1}{3}\) feet b. 8 \(\frac{3}{8}\) feet c. 10 \(\frac{1}{3}\) feet d. 10 \(\frac{2}{3}\) feet

Answer: d. 10 \(\frac{2}{3}\) feet

Explanation: The cheerleaders are making a banner that is 8 feet wide. he length of the banner is 1 1/3 times the width of the banner. So, 8 x 4/3 = 32/3 =10 and the remainder is 2. The mixed fraction is 10 2/3 feet.

Question 3. Karleigh walks \(\frac{5}{8}\) mile to school every day. How far does she walk to school in 5 days? Options: a. \(\frac{5}{40}\) mile b. \(\frac{25}{40}\) mile c. \(\frac{10}{8}\) miles d. \(\frac{25}{8}\) miles

Answer: d. \(\frac{25}{8}\) miles

Explanation: 5 x 5/8 = 25/8.

Question 4. Which number is a multiple of \(\frac{4}{5}\)? Options: a. \(\frac{8}{10}\) b. \(\frac{12}{15}\) c. \(\frac{16}{20}\) d. \(\frac{12}{5}\)

Answer: d. \(\frac{12}{5}\)

Explanation: The multiple of \(\frac{4}{5}\) has the denominator 5. So, \(\frac{12}{5}\) is the correct answer.

Go Math Chapter 8 Grade 4 Answer Key Question 5. Jo cut a key lime pie into 8 equal-size slices. The next day, \(\frac{7}{8}\) of the pie is left. Jo puts each slice on its own plate. How many plates does she need? Options: a. 5 b. 6 c. 7 d. 8

Answer: c. 7

Explanation: Jo cut a key lime pie into 8 equal-size slices. The next day, \(\frac{7}{8}\) of the pie is left. Jo puts each slice on its own plate. She needs 7 plates.

Question 6. Over the weekend, Ed spent 1 \(\frac{1}{4}\) hours doing his math homework and 1 \(\frac{3}{4}\) hours doing his science project. Altogether, how much time did Ed spend doing homework over the weekend? Options: a. 3 hours b. 2 \(\frac{3}{4}\) hours c. 2 \(\frac{1}{2}\) hours d. 2 hours

Answer: a. 3 hours

Explanation: 5/4 + 7/4 = 12/4 = 3 hours

Page No. 483

Question 1. Komodo dragons are the heaviest lizards on Earth. A baby Komodo dragon is 1 \(\frac{1}{4}\) feet long when it hatches. Its mother is 6 times as long. How long is the mother? First, draw a bar model to show the problem. Type below: _________

Question 1. Then, write the equation you need to solve. Type below: _________

Answer: A baby Komodo dragon is 5/4 feet. Her mother is 6 x 5/4 = 30/4 feet long.

Question 1. Finally, find the length of the mother Komodo dragon. The mother Komodo dragon is _____ feet long. ______ \(\frac{□}{□}\)

Answer: 7\(\frac{2}{4}\)

Explanation: 30/4 = 7 and the remainder is 2. The mixed fraction is 7 2/4 feet.

Question 2. What if a male Komodo dragon is 7 times as long as the baby Komodo dragon? How long is the male? How much longer is the male than the mother? ______ \(\frac{□}{□}\) feet long ______ \(\frac{□}{□}\) feet longer

Answer: 35/4 feet long 5/4 feet longer

Explanation: If a male Komodo dragon is 7 times as long as the baby Komodo dragon, then 7 x 5/4 = 35/4. 35/4 – 30/4 = 5/4 feet male Komodo dragon is grater than female Komodo dragon.

Question 3. The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \(\frac{1}{2}\) grams. A Rufous hummingbird’s mass is 3 times the mass of the Bee hummingbird. What is the mass of a Rufous hummingbird? ______ \(\frac{□}{□}\) grams

Answer: 9/2 grams

Explanation:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \(\frac{1}{2}\) grams. A Rufous hummingbird’s mass is 3 times the mass of the Bee hummingbird. 3 x 3/2 = 9/2 grams.

Question 4. Sloane needs \(\frac{3}{4}\) hour to drive to her grandmother’s house. It takes her 5 times as long to drive to her cousin’s house. How long does it take to drive to her cousin’s house? ______ \(\frac{□}{□}\) hours

Answer: \(\frac{15}{4}\) hours

Explanation: 5 x 3/4 = 15/4 To drive to her cousin’s house, it takes 15/4 hours.

Page No. 484

Use the table for 5 and 6.

tulip = 5/4 = 1.25 daisy = 5/2 = 2.5 tiger lily = 10/3 = 3.33 sunflower = 31/4 = 7.75

Question 5. Make Sense of Problems What is the difference between the height of the tallest flower and the height of the shortest flower in Payton’s garden? ______ \(\frac{□}{□}\) feet

Answer: 6\(\frac{2}{4}\) feet

Explanation: tallest flower = sunflower shortest flower = tulip The difference between the tallest flower and shortest flower = 31/4 – 5/4 = 26/4 =6 and the remainder is 2. So, the mixed fraction is 6 2/4 feet.

Question 6. Payton says her average sunflower is 7 times the height of her average tulip. Do you agree or disagree with her statement? Explain your reasoning. Type below: _________

Answer: I will disagree with her statement. Tulip = 5/4. 7 x 5/4 = 35/4. 31/4 is smaller than 35/4. So the statement is not correct.

Question 7. Miguel ran 1 \(\frac{3}{10}\) miles on Monday. On Friday, Miguel ran 3 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? ______ \(\frac{□}{□}\) miles

Answer: 3\(\frac{9}{10}\) miles

Explanation: Miguel ran 13/10 miles on Monday. On Friday, 3 x 13/10 = 39/10 miles = 3 and the remainder is 9. the mixed fraction is 3 9/10 miles

Answer: ii. False

Explanation: Tuck = 7/6 Lolly = 35/6 Daisy = 7/2 7/6 x 4 = 28/6. So, the statement is false.

Question 8. b. Lolly is 5 times as long as Tuck. i. True ii. False

Answer: i. True

Explanation: 5 x 7/6 = 35/6. So, the statement is true.

Question 8. c. Daisy is 3 times as long as Tuck. i. True ii. False

Explanation: 3 x 7/6 = 21/6 = 7/2 So, the statement is true.

Question 8. d. Lolly is 2 times as long as Daisy. i. True ii. False

Explanation: 2 x 7/2 = 7. So, the statement is false.

Common Core – New – Page No. 485

Problem Solving Comparison

Problems with Fractions

Read each problem and solve.

Answer: 5 feet

Question 2. You run 1 \(\frac{3}{4}\) miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day? __________ miles

Answer: 7 miles

Explanation: 4 x 7/4 = 7 miles each day

Question 3. At the grocery store, Ayla buys 1 \(\frac{1}{3}\) pounds of ground turkey. Tasha buys 2 times as much ground turkey as Ayla. How much ground turkey does Tasha buy? ______ \(\frac{□}{□}\) pounds

Answer: 2\(\frac{2}{3}\) pounds

Explanation: 2 x 4/3 = 8/3 = 2 and the remainder is 2. The mixed fraction is 2 2/3 pounds

Go Math Grade 4 Chapter 8 Review Test Answers Question 4. When Nathan’s mother drives him to school, it takes \(\frac{1}{5}\) hour. When Nathan walks to school, it takes him 4 times as long to get to school. How long does it take Nathan to walk to school? \(\frac{□}{□}\) hours

Answer: \(\frac{4}{5}\) hours

Explanation: 4 x 1/5 = 4/5 hour

Common Core – New – Page No. 486

Question 1. A Wilson’s Storm Petrel is a small bird with a wingspan of 1 \(\frac{1}{3}\) feet. A California Condor is a larger bird with a wingspan almost 7 times as wide as the wingspan of the petrel. About how wide is the wingspan of the California Condor? Options: a. \(\frac{4}{21}\) foot b. 2 \(\frac{1}{3}\) feet c. 7 \(\frac{1}{3}\) feet d. 9 \(\frac{1}{3}\) feet

Answer: d. 9 \(\frac{1}{3}\) feet

Explanation: 1 1/3 = 4/3. 7 x 4/3 = 28/3 feet = 9 and the remainder is 1. The mixed fraction is 9 1/3

Question 2. The walking distance from the Empire State Building in New York City to Times Square is about \(\frac{9}{10}\) mile. The walking distance from the Empire State Building to Sue’s hotel is about 8 times as far. About how far is Sue’s hotel from the Empire State Building? Options: a. \(\frac{9}{80}\) mile b. \(\frac{72}{80}\) mile c. 1 \(\frac{7}{10}\) miles d. 7 \(\frac{2}{10}\) miles

Answer: d. 7 \(\frac{2}{10}\) miles

Explanation: 8 x 9/10 mile = 72/10 mile = 7 and the remainder is 2. The mixed fraction is 7 2/10 miles.

Question 3. Which of the following expressions is NOT equal to 3 × 2 \(\frac{1}{4}\)? Options: a. 3 × \(\frac{9}{4}\) b. (3 × 2) + (3 × \(\frac{1}{4}\)) c. 6 \(\frac{3}{4}\) d. 3 × 2 + \(\frac{1}{4}\)

Answer: d. 3 × 2 + \(\frac{1}{4}\)

Explanation: 3 × 2 \(\frac{1}{4}\) = 3 x 9/4 = 27/4 a. 3 × \(\frac{9}{4}\) = 27/4 b. (3 × 2) + (3 × \(\frac{1}{4}\)) = 6 + 3/4 = 27/4 c. 6 \(\frac{3}{4}\) = 27/4 d. 3 × 2 + \(\frac{1}{4}\) = 6 + 1/4 = 25/4

Question 4. At a bake sale, Ron sells \(\frac{7}{8}\) of an apple pie and \(\frac{5}{8}\) of a cherry pie. Altogether, how much pie does he sell at the bake sale? Options: a. \(\frac{2}{8}\) b. \(\frac{12}{16}\) c. \(\frac{12}{8}\) d. \(\frac{35}{8}\)

Answer: c. \(\frac{12}{8}\)

Explanation: 7/8 + 5/8 = 12/8 The bake sale 12/8 pie.

Question 5. On a ruler, which measurement is between \(\frac{3}{16}\) inch and \(\frac{7}{8}\) inch? Options: a. \(\frac{1}{16}\) inch b. \(\frac{1}{8}\) inch c. \(\frac{11}{16}\) inch d. \(\frac{15}{16}\) inch

Answer: c. \(\frac{11}{16}\) inch

Question 6. Which of the following numbers is composite? Options: a. 4 b. 3 c. 2 d. 1

Answer: a. 4

Explanation: 4 has more than 2 factors.

Page No. 487

Question 1. What are the next four multiples of \(\frac{1}{8}\)? Type below: _________

Explanation: 1 x 1/8 = 1/8. 2 x 1/8 = 2/8. 3 x 1/8 = 3/8. 4 x 1/8 = 4/8. 5 x 1/8 = 5/8. Next four multiples of 1/8 are 2/8, 3/8, 4/8, 5/8.

Marta must measure \(\frac{1}{8}\) 9 cup times.

Question 3. Mickey exercises \(\frac{3}{4}\) hour every day. How many hours does he exercise in 8 days? _____ hours

Answer: 6 hours

Explanation: 8 x 3/4 = 24/4 = 6

Page No. 488

Question 4. Molly is baking for the Moms and Muffins event at her school. She will bake 4 batches of banana muffins. She needs 1 \(\frac{3}{4}\) cups of bananas for each batch of muffins. Part A Molly completed the multiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is Molly’s error? \(4 \times 1 \frac{3}{4}=4 \times \frac{8}{4}=\times \frac{32}{4}=8\) Type below: _________

Answer: 4 x 1 3/4 = 4 x 8/4 = 8 Molly did not write the mixed number, 1 3/4 as a fraction correctly. 1 3/4 is not equal to 8/4.

Question 4. Part B What is the correct number of cups Molly needs for 4 batches of muffins? Explain how you found your answer. _____ cups

Answer: 7 cups

Explanation: She will bake 4 batches of banana muffins. She needs 7/4 cups of bananas for each batch of muffins. So, if she prepares 4 batches of muffins = 4 x 7/4 = 7 cups of banana.

Question 5. Which fraction is a multiple of \(\frac{1}{9}\)? Mark all that apply. Options: a. \(\frac{3}{9}\) b. \(\frac{9}{12}\) c. \(\frac{2}{9}\) d. \(\frac{4}{9}\) e. \(\frac{9}{10}\) f. \(\frac{9}{9}\)

Answer: a. \(\frac{3}{9}\) c. \(\frac{2}{9}\) d. \(\frac{4}{9}\) f. \(\frac{9}{9}\)

Explanation: The multiples of \(\frac{1}{9}\) have the denominator of 9.

Question 6. Mimi recorded a soccer game that lasted 1 \(\frac{2}{3}\) hours. She watched it 3 times over the weekend to study the plays. How many hours did Mimi spend watching the soccer game? Show your work. _____ hours

Answer: 5 hours

Explanation: 3 x 1 2/3 = 3 x 5/3 = 5 hours.

Page No. 489

Answer: The product 2 × \(\frac{3}{5}\) is shown by the fraction \(\frac{6}{5}\) on the number line.

Question 9. Bobby has baseball practice Monday, Wednesday, and Friday. Each practice is 2 \(\frac{1}{2}\) hours. Bobby says he will have practice for 4 hours this week. Part A Without multiplying, explain how you know Bobby is incorrect. Type below: _________

Answer: Bobby needs to find 3 × 2 1/2. If he estimates 3 × 2 hours, then he finds the practice is at least 6 hours. 6 is greater than 4, so Bobby’s answer is incorrect.

Question 9. Part B How long will Bobby have baseball practice this week? Write your answer as a mixed number. Show your work. ______ \(\frac{□}{□}\) hours

Explanation: 3 x 2 1/2 = 3 x 5/2 = 15/2 = 7 1/2

Answer: 9/6, 10/6, 11/6, 12/6

Page No. 490

Explanation: 3 x 4/5 = 12/5 = 12 x 1/5.

Question 13. Yusif wanted to give \(\frac{1}{3}\) of his total toy car collection to 2 of his friends. How many of his toy cars will he give away? \(\frac{□}{□}\)

Answer: \(\frac{2}{3}\)

Explanation: Yusif wanted to give \(\frac{1}{3}\) of his total toy car collection to 2 of his friends. He has three toy cars in total. He has given 2 cars out of 3 cars. So, the answer is \(\frac{2}{3}\).

Answer: 4 × \(\frac{5}{8}\) = \(\frac{20}{8}\) 4 × \(\frac{4}{8}\) = \(\frac{16}{8}\)

Page No. 491

Explanation: Kenny = 3/2 Bobby = 9/2 Puck = 15/2 4 x 3/2 =6 So, the statement is false.

Question 15. b. Bobby is 3 times as long as Kenny. i. True ii. False

Explanation: 3 x 3/2 = 9/2 So, the statement is true.

Question 15. c. Puck is 5 times as long as Kenny. i. True ii. False

Explanation: 5 x 3/2 = 15/2 So, the statement is true.

Question 15. d. Puck is 2 times as long as Bobby. i. True ii. False

Explanation: 2 x 9/2 = 9 So, the statement is false.

Question 16. Hank used 3 \(\frac{1}{2}\) bags of seed to plant grass in his front yard. He used 3 times as much seed to plant grass in his back yard. How much seed did Hank need for the backyard? _____ \(\frac{□}{□}\)

Answer: 10\(\frac{1}{2}\)

Explanation: 3 x 7/2 = 21/2 = 10 and the remainder is 1. The answer is 10 1/2.

Question 17. Jess made a big kettle of rice and beans. He used 1 \(\frac{1}{2}\) cups of beans. He used 4 times as much rice. Part A Draw a model to show the problem. Type below: _________

Question 17. Part B Use your model to write an equation. Then solve the equation to find the amount of rice Jess needs. Type below: _________

Answer: 6 cups

Explanation: Rice = 4 x 3/2 = 12/2 = 6. Jess needs 6 cups of rice.

Page No. 492

Question 18. Mrs. Burnham is making modeling clay for her class. She needs \(\frac{2}{3}\) cup of warm water for each batch. Part A Mrs. Burnham has a 1-cup measure that has no other markings. Can she make 6 batches of modeling clay using only the 1-cup measure? Describe two ways you can find the answer. Type below: _________

Answer: Yes. She needs 6 x 2/3 cups of water. 6 x 2/3 = 12/3 = 4 cups. So, she can use the 1-cup measure 4 times to make 6 batches.

Question 18. Part B The modeling clay recipe also calls for \(\frac{1}{2}\) cup of cornstarch. Nikki says Mrs. Burnham will also need 4 cups of cornstarch. Do you agree or disagree? Explain. Type below: _________

Answer: Disagree; 6 x 1/2 = 3 cups of cornstrach. She doesn’t need 4 cups of cornstarch.

Question 19. Donna buys some fabric to make place mats. She needs \(\frac{1}{5}\) yard of each type of fabric. She has 9 different types of fabrics to make her design. Use the following equation. Write the number in the box to make the statement true. \(\frac{9}{5}\) = ______ × \(\frac{1}{5}\)

Question 20. Mr. Tuyen uses \(\frac{5}{8}\) of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks? Write your answer two different ways. Mr. Tuyen uses __________ or _________ tanks of gas. Type below: _________

Answer: Mr. Tuyen uses 25/8 or 3\(\frac{1}{8}\) tanks of gas

Explanation: 5 x 5/8 = 25/8 = 3 and the remainder is 1. So, the mixed fraction is 3 1/8.

Question 21. Rico is making 4 batches of salsa. Each batch needs \(\frac{2}{3}\) cup of corn. He only has a \(\frac{1}{3}\)– cup measure. How many times must Rico measure \(\frac{1}{3}\) cup of corn to have enough for all of the salsa? ______ times

Answer: 8 times

Explanation: Rico is making 4 batches of salsa. Each batch needs \(\frac{2}{3}\) cup of corn. He only has a \(\frac{1}{3}\)– cup measure. So, he needs 2x 1/3 cups for one batch. For 4 batches of salsa, 4 x 2 = 8 cups of corn required.

Page No. 497

Write the fraction or mixed number and the decimal shown by the model.

Answer: 3\(\frac{2}{10}\) three and two-tenths

Answer: 4/10 = 0.4

Explanation: 4 boxes are shaded out of 10 boxes. So, the fraction is 4/10.

Answer: 1\(\frac{2}{10}\)

Answer: 2\(\frac{9}{10}\)

Practice: Copy and Solve Write the fraction or mixed number as a decimal.

Question 8. 5 \(\frac{9}{10}\) = _____

Answer: \(\frac{59}{10}\)

Explanation: Multiply 10 x 5 = 50. Add 50 + 9 = 59. The fraction is 59/10

Question 9. \(\frac{1}{10}\) = _____

Answer: 0.1

Question 10. \(\frac{7}{10}\) = _____

Answer: 0.7

Question 11. 8 \(\frac{9}{10}\) = _____

Answer: \(\frac{89}{10}\)

Explanation: Multiply 10 x 8 = 80. Add 80 + 9 = 89. The fraction is 89/10

Question 12. \(\frac{6}{10}\) = _____

Answer: 0.6

Question 13. 6 \(\frac{3}{10}\) = _____

Answer: \(\frac{63}{10}\)

Explanation: Multiply 10 x 6 = 60. Add 60 + 3 = 63. The fraction is 63/10

Question 14. \(\frac{5}{10}\) = _____

Answer: 0.5

Question 15. 9 \(\frac{7}{10}\) = _____

Answer: \(\frac{97}{10}\)

Explanation: Multiply 10 x 9 = 90. Add 90 +7 = 97. The fraction is 97/10

Page No. 498

Question 16. What part of the rocks listed in the table are igneous? Write your answer as a decimal. _____

Question 17. Sedimentary rocks make up what part of Ramon’s collection? Write your answer as a fraction and in word form. Type below: _________

Answer: 3/10 and three-tenths

Question 18. What part of the rocks listed in the table are metamorphic? Write your answer as a fraction and as a decimal. Type below: _________

Answer: 2/10 or 0.2

Question 19. Communicate Niki wrote the following sentence in her report: “Metamorphic rocks make up 2.0 of Ramon’s rock collection.” Describe her error. Type below: _________

Answer: Metamorphic rocks make up 2.0 of Ramon’s rock collection. But from the given table, it is clearly mentioned that the answer is 0.2. So, she made a mistake to make up Ramon’s rock collection.

Question 20. Josh paid for three books with two $20 bills. He received $1 in change. Each book was the same price. How much did each book cost? $ _____ each book

Answer: $19/3 for each book.

Explanation: Josh paid for three books with two $20 bills. He received $1 in change. So, he paid $19 for three books. As the each book has same price, the answer is $19/3 for each book.

Answer: 1\(\frac{7}{10}\) 1.7

Conclusion:

Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers PDF with solved problems are provided here. Review every problem and way of answering. Refer Grade 4 Chapter 8 Answer Key to get success in exams. Get your estimated grade with easy learning. It is possible when you use Go Math Grade 4 Chapter 8 Multiply Fractions by Whole Numbers Solution Key.

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