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Math Subject for Elementary - 5th Grade: Fractions I
Math subject for elementary - 5th grade: fractions i presentation, free google slides theme, powerpoint template, and canva presentation template.
Who says Maths have to be boring? Introduce elementary school students to the wonders of fractions with this cool template. Its fun and approachable design is filled with colors and makes each slide look like a page ripped out from a spiral notebook. Also, its many color illustrations add a touch of whimsy to the subject that goes a long way towards making it palatable and interesting to young pupils!
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Adding and Subtracting Fractions - PowerPoint
In this educational resource designed for Year 3 students, the focus is on understanding and practising the addition and subtraction of fractions with the same denominator. The lesson begins by defining fractions as equal parts of a whole, which can represent parts of an object, quantity, or number. Students recap the structure of fractions, identifying the numerator and denominator in a fraction written as a numeral. The numerator indicates the number of equal parts being considered, while the denominator shows into how many parts the whole is divided.
The lesson then moves on to explain the straightforward process of adding fractions with the same denominator, where only the numerators are added while the denominator remains unchanged. This concept is visualised through diagrams that help students see the fractions being combined. Similarly, subtracting fractions is taught by subtracting the numerators and keeping the denominator constant. Students are encouraged to practise these operations through various exercises and word problems provided in worksheets. These activities aim to reinforce their understanding and application of adding and subtracting fractions in different contexts.
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Adding and Subtracting Fractions.
Subject: Mathematics
Age range: 14-16
Resource type: Worksheet/Activity
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We have two differentiated worksheets to help you learn adding fractions. First, you’ll work with fractions that have the same bottom number (same denominator). Then, we’ll move on to fractions where one denominator is a factor of the other. Next, you’ll practice adding fractions with different denominators. After that, we’ll move to adding mixed numbers. Finally, we’ll tackle some word problems that involve fractions.“ We provide detailed step-by-step solutions for all the questions on the worksheets. This means you’ll get clear explanations for each problem, helping you understand how to add fractions better
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Adding And Subtracting Algebraic Fractions
Jan 04, 2020
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Adding And Subtracting Algebraic Fractions.
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- common denominator
- basic factors
Presentation Transcript
When adding and subtracting fractions, it is necessary to find a common denominator – preferably the lowest common denominator (LCD). This is what makes addition and subtraction of fractions more tedious than multiplication and division. A common denominator is NOT required for multiplication or division. The process of determining the LCD is critical when adding or subtracting fractions but before dealing with examples where the denominators are different, it might be useful to work with some where the denominators are the same. In these cases, it will not be necessary to determine the LCD because the denominators will start out that way.
When the denominators of the fractions being added or subtracted start out the same, it is necessary to combine the numerators over that same denominator. It may be possible to factor the denominator and the newly combined numerator in a later step.
2x2 + 15x – 8 2x2 – 1x + 16x – 8 x(2x – 1) + 8(2x – 1) (2x – 1)(x + 8) 2 × - 8 = -16 -1 16 -2 8 -4 4 3 × - 8 = -24 3x2 - 10x – 8 3x2 + 2x - 12x – 8 x(3x + 2) - 4(3x + 2) (3x + 2)(x - 4) 1 -24 2 -12 3 -8 4 -6
When adding and subtracting fractions where the denominators are different, it is necessary to find the LCD. This is what makes addition and subtraction of fractions more tedious than multiplication and division. A common denominator is NOT required for multiplication or division. The LCD is basically the simplest expression that all of the starting denominators can divide into. If the denominators are just numerical, then the LCD is actually the lowest common multiple of each of the original denominators. Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 45, 50 ,55, … Multiples of 18 = 18, 36, 54, 72, 90, 108, … Multiples of 9 = 9, 18, 27, 36, 45, 54 ,63, … Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, … LCM = 45 LCM = 36
The steps involved in the addition of algebraic fractions can be appreciated by analyzing the steps of adding of a simpler pair of numeric fractions. To add these 2 fractions, we must find the lowest multiple of denominators 6 and 8 – in other words ‘the lowest common denominator’. LCD = 24 The LCD for these 2 fractions is 24 because 24 is the lowest number that both 6 and 8 can divide into evenly. 24 8 = 3 and 24 6 = 4 After choosing the LCD, it is now necessary to rewrite each of the fractions with the LCD instead of the original denominators. NOTE: If the denominator is changed then the numerator must be changed by the same factor to preserve the value of the original fractions. 9 20
Once the fractions have been written with a common denominator, the operation can be completed in the numerator. This whole process basically has 3 critical steps: • Choosing the LCD. • - Technically any common denominator will yield the correct answer (not just the lowest), however if a greater denominator is used it causes all the numbers thereafter to be bigger and therefore more difficult to work with. When working with algebraic fractions a common denominator that is NOT as small as possible will often be crippling and make the expressions too complicated to work with. • Adjusting the numerator of each fraction. • - When the denominator of a fraction is changed to the LCD, the numerator must be changed by the same factor. • Performing operations in numerator. • - Only the numerators are added/subtracted. The denominator remains whatever the LCD is.
When adding or subtracting fractions with different denominators, we will deal with them first by working with fractions that have monomial (one-term) denominators. LCD = 6 15x 14x 7x LCD = 12 8x
To determine the LCD for monomial expressions involving variables, it is helpful to visualize the basic or prime factors of each of the denominators of the fractions being added or subtracted. 6x2y3z = 2 3 x x y y y z 8 basic factors 9xy3z2 = 3 3 x y y y z z 8 basic factors The LCD must contain all of those basic factors. If a factor exists in one of the original denominators more than once, then it must also be in the LCD more than once. However, if a factor is in both denominators only once, then it only needs to be in the LCD once.
6x2y3z = 2 3 x x y y y z 8 basic factors 9xy3z2 = 3 3 x y y y z z 8 basic factors Referring to the example, the LCD must contain a factor of 2 and 3 because these are factors of 6x2y3z. LCD = 2 3 3 x x y y y z z = 18x2y3z2 It must contain a second factor of 3 because there are two factors of 3 in 9xy3z2. It must contain two factors of x because there are two factors of x in 6x2y3z. 9xy3z2 has only 1 factor of x and it is already there once. It must contain a three factors of y because there are 3 factors of y in 6x2y3z. 9xy3z2 also has 3 factors of y but it is already part of the LCD 3 times. It must contain a factor of z because there is a factor of z in 6x2y3z. 9xy3z2 has 2 factors of z. The LCD already has been given one but it must be given a second. The LCD has 10 basic factors.
Another way to determine the LCD is to determine the numeric part of the LCD by choosing the lowest common multiple and then determine the variable part by choosing the greatest exponent from each of the variables of the original denominators. Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, … LCM = 18 Multiples of 9 = 9, 18, 27, 36, 45, 54, … 6x2y3z 9xy3z2 The LCD for the x variable will be x2 because 2 is the greatest exponent for the x variable. The LCD for the y variable will be y3 because 3 is the greatest exponent for the y variable. The LCD for the z variable will be z2 because 2 is the greatest exponent for the z variable. LCM = 18x2y3z2
LCD = xy 5y 7x LCD = x2 5x 3
25x LCD = 30x3y3 9y2 a3bd LCD = ab2c2d2 c3
To determine the LCD for denominators having expressions involving 2 or more terms, it is again helpful to visualize the basic or prime factors of each of the denominators of the fractions being added or subtracted. For this reason, it is necessary to factor the denominators to their most basic factors at the very beginning. There are 2 factors in each denominator. The LCD must contain those factors. The first denominator has the factors (x + 2) and (x + 4) so they must be a part of the LCD. The second denominator has the factors (x + 2) and (x - 2) so they must be a part of the LCD. Since (x + 2) already is there, it doesn’t need to be placed there a second time. LCD = (x + 2)(x + 4) (x – 2)
There are 6 factors in the first denominator and 5 factors in the second. The LCD must contain those factors. The first denominator has the factors 2, 3, x, x a second time, (x + 2) and (x + 4) so they must be a part of the LCD. The second denominator has the factors 3, 3 a second time, x, (x + 2) and (x + 2) a second time so they must be a part of the LCD. Since 3, x, and (x + 2) are already there one time, they don’t need to be placed there again. However because 3 and (x + 2) are in the second denominator twice, they must be a part of the LCD twice. LCD = 23xx(x + 2)(x + 4) 3(x + 2) = 233xx (x + 2)(x + 2)(x + 4) = 18x2(x + 2)2(x + 4)
LCD = 18x2(x + 2)2(x + 4) 21(x + 2) 28x(x + 4)
Be careful with subtraction of fractions. LCD = 18x2(x + 2)2(x + 4) 21(x + 2) 28x(x + 4)
LCD = (x + 3)(x + 4)(x – 2) 1(x – 2) 5(x + 4)
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We can use equivalent fractions to add fractions that do not have the same denominator . Adding and subtracting simple fractions 3 4 + 1 8 For example: Denominator - The bottom number of a fraction. Numerator - The top number of a fraction. Equivalent - The same as. 3 4 = 6 8 Now we have: + + 1 8 6 8 = 7 8 We need to change into an ...
Adding & Subtracting Fractions. Rewrite the problem using improper fractions (top heavy) if necessary. Find the Least Common Denominator. Rewrite the problem with Equivalent Fractions. Add (or Subtract) the numerators. Reduce the answer if possible.
pptx, 65.57 KB. Two PowerPoint's that focus on being able to add and subtract fractions. The first one looks at being able to add and subtract when the denominator is the same, modelling and working through a range of questions. The second PowerPoint then focuses on adding and subtracting when the denominator is different, modelling and working ...
NEVER add or subtract the denominators! Steps for Adding/Subtracting Fractions with Uncommon Denominators. STEP 1: Find a common denominator. You can either multiply the denominators OR find the LCM by listing all the multiples of both numbers. 1⁄2 + 1⁄4 You can multiply 2 and 4 to get 8, which is a common denominator.
Adding Mixed Numbers • Separate the fraction and the whole number sections, add them separately and recombine at the end. Adding and Subtracting Fractions. Adding Fractions with common denominators. Adding Fractions with different denominators. Problem: You can ' t add fractions with different denominators without getting them ready first.
Find the smallest number that both 4and 5 will go into. This number is 20. Then multiply both the numerator and denominator to get to 20. 19 20 Once you have a common denominator, then add! 6th Grade HomePage. QUIZ ADDING MIXED NUMBERS 3 3 • ½ • 5 1/3 X X 6 5 3/6 2/6 2 2 + 11 5/6 You MUST have a common denominator to add fractions!
Perfect for educators looking to spice up their math classes, this slideshow template tackles adding and subtracting fractions in a way that's engaging and easy to grasp. Say goodbye to yawns and hello to eager learners with visuals and examples that stick. ... Canva allows you to export to a perfect PPT or Google Slide when you are done ...
Available on the Plus Plan. A 17-slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions. This PowerPoint presentation has been designed to teach your students, step by step, how to add and subtract fractions with both like and unlike denominators. It covers the following content:
Download now. Adding And Subtracting Fractions - Download as a PDF or view online for free.
This PowerPoint presentation has been designed to teach your students, step by step, how to add and subtract like and unlike fractions. It covers the following content: Revision of what fractions are; and what each part of a fraction represents. A clear explanation of how to add and subtract like fractions, including annotated examples.
3. Adding and subtracting fractions.....a little trickier than multiplying and dividing. 4. The first thing you must do is make the bottom numbers the same. 5. To make them the same you need to think of the lowest number that they will both divide into and the quickest way to do this may be to multiply the two bottom numbers together. 15.
Introduce elementary school students to the wonders of fractions with this cool template. Its fun and approachable design is filled with colors and makes each slide look like a page ripped out from a spiral notebook. Also, its many color illustrations add a touch of whimsy to the subject that goes a long way towards making it palatable and ...
This colorful and engaging PowerPoint presentation can be used to introduce pupils to adding and subtracting fractions, or as a review of the topic. Content includes: Quick fraction recap including numerator and denominator explanations Explanation of how to add fractions with the same denominator Simplifying fractions and converting improper ...
Adding and Subtracting Fractions Powerpoint - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. Scribd is the world's largest social reading and publishing site.
Age range: 7-11. Resource type: Lesson (complete) File previews. pptx, 335.11 KB. A Powerpoint presentation on adding and subtracting fractions with both the same and different denominators. Begins with pictorial explanations and then moves onto formal method using equivalent fractions. Clear slides with answers to all examples and questions.
MATHEMATICS 6. Education. 1 of 16. Download now. Adding and subtracting fractions - Download as a PDF or view online for free.
Students can discover how to add and subtract mixed numeral fractions with this informative PowerPoint. This PowerPoint includes a comprehensive explanation of how to add and subtract these fractions and questions for your students to answer. This PowerPoint also includes detailed answers to each of the questions included in this resource. Use this PowerPoint as part of your Year 6 Maths unit ...
Adding and Subtracting Fractions. Adding and Subtracting Fractions. Let's look at a model of adding fractions. Example: . First we need a fraction bar representation of each addend. We will stack these so that the shading of the second starts where the shading of the first ends . 343 views • 11 slides
15 20 3 4 15_ 5 = 5 = x + 4 = 4 = 4 20 x ADDING FRACTIONS When adding fractions you MUST have a common denominator! Find the smallest number that both 4and 5 will go into. This number is 20. Then multiply both the numerator and denominator to get to 20. 19 20 Once you have a common denominator, then add! 6th Grade HomePage.
Description. Adding and Subtracting Fractions - Year 3 Year 3Maths programme of study - Number - fractions add and subtract fractions with the same denominator within one whole 'Adding and Subtracting Fractions - Year 3' is a KS2Maths teaching resource ideal to use in a lesson covering the year 3 curriculum objective listed above. This ...
Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. pptx, 1.33 MB. A simple KS3 powerpoint showing adding and subtracting fractions with the same and different denominators. Tfere's a warm up on LCM and equivalent fractions and some queestions with answers at the end. See more.
Mixed Numbers There are two ways to change mixed numbers so you can add or subtract. • Change the mixed number into an improper fraction. • Change just the fraction and leave the whole number alone. Mixed Numbers 1 1/5 Steps: Add the fractions together. Add the whole numbers. 2 3/5 The answer is : 34/5 3 4/5.
We have two differentiated worksheets to help you learn adding fractions. First, you'll work with fractions that have the same bottom number (same denominator). Then, we'll move on to fractions where one denominator is a factor of the other. Next, you'll practice adding fractions with different denominators.
When adding and subtracting fractions, it is necessary to find a common denominator - preferably the lowest common denominator (LCD). This is what makes addition and subtraction of fractions more tedious than multiplication and division. A common denominator is NOT required for multiplication or division. The process of determining the LCD is ...