fractions problem solving tes

Fraction Tests and Worksheets

• Worksheets By Grade
• Math Tutorials
• Pre Algebra & Algebra
• Exponential Decay

Fractions are one of the most difficult concepts for students to understand. These worksheets can be used as summative or as diagnostic tests to determine the level of understanding students have. Or, teachers can assign them as homework or for-in-class work.

The free printables offer a variety of concepts related to fractions involving all operations, multiplying, dividing, adding, and subtracting, as well as understanding common denominators. A worksheet or test is provided in each section for students to complete followed by an exact replica of the PDF containing the answers for ease of grading.

Print the PDF: mixed operations and compare the fractions

 This test or worksheet provides fraction problems involving mixed operations, requiring adding, subtracting, multiplying, and dividing. If you are using this printable as a test, you'll find out whether students understand when they need to find a common denominator before working the fraction problems.

If students are struggling, explain that when the denominators—or the bottom numbers—are the same in two fractions, they only need to subtract or add the numerators or top numbers. When the fraction problems involve the operations of multiplying and dividing, students don't need to find the common denominators; in those cases, students can just work the problems.

Simplify, Reduce and Compare the Fractions

Print the PDF: simplify, reduce and compare the fractions

 For this worksheet or test, students will have to answer problems involving mixed fractions. Students will have to simplify the fractions or convert mixed fractions to improper fractions in order to compare them.

Find the Equivalent Fractions, Use Lowest Terms

Print the PDF: simplify, reduce, and compare the fractions

This worksheet offers more opportunities for students to simplify, reduce, and compare fractions. However, for this PDF, students will need to fill in the correct numerator for some fractions.

Mixed Operations, Lowest Terms and Equivalent Fraction Tests in PDF

Print the PDF: mixed operations, equivalencies, and compare the fractions

Students will get more practice on mixed operations on this worksheet or test, but they will also need to fill in the denominator—the bottom number on a fraction—in order to compare two fractions.

Equivalent, Fractions, Multiply the Fractions

Print the PDF: multiply the fractions, equivalent fractions

Before students begin working the fraction problems on this worksheet, explain to them that "of" in math means times (x). So, for one of the problems on the PDF, students will determine what is the product of 1/3 of 8. They can work the problem as follows:

1/3 of 8 = ?

1/3 x 8 = ?

1/3 x 8 = 8/3

8/3 = 2 2/3

Multiply the Fractions, Equivalent Fractions and Multiply Fractions

Print the PDF: simplify, reduce, and compare the fractions 

As needed, this and the following worksheets give student more practice on simplifying, reducing, and comparing fractions.

Simplify, reduce and compare the fractions.

Compare, multiply and simplify the fractions, compare, reduce and simplify the fractions. all in pdf.

• Fraction Worksheets and Printables
• Subtraction of Fractions With Common Denominators
• Free French Worksheets
• Multiply Fractions With Common Denominators Worksheets
• Computations With Fractions
• Free Math Word Problem Worksheets for Fifth-Graders
• Free Christmas Math Worksheets
• Find the Equivalent Fractions - Worksheets
• Free Times Tables Worksheets
• IEP Fraction Goals for Emerging Mathematicians
• 9 Worksheets on Simplifying Fractions for 6th Graders
• Order of Operations Worksheets
• 3-Digit Addition Worksheets
• Worksheets to Help Kids Find Equivalent Fractions
• Money Worksheets for Counting Change
• Basic Subtraction Fact Worksheets to 20

Six fractions lesson to choose from, or mix and match as you need!

Equivalent and simplifying fractions is a complete lesson including worksheets, multiple choice, bingo and Blooms questioning.

Fractions of amounts is another differentiated complete lesson, including bingo and questions.

Adding and subtracting fractions has a detailed tutorial focusing on finding common denominators.

Multiplying and dividing fractions has visual explanations and differentiated questions.

The mixed numbers lesson ties all four operations together with further differentiated sheets and explanations.

The fractions review lesson is a differentiated and scaffolded complete lesson with ESP (establishing starting points) task followed by scaffolded sheets. Students select which sheets to complete with guidance from teacher.

Mr Barton Maths Podcast

Long-form conversations about teaching and learning with craig barton.

Fractions Investigation – TES Maths Resource of the Week

The following resource has been kindly shared on the  TES Maths website . It is available to download for free by registering. And to access all the lovely Resource of the Week (ROTW) resources, just click  here

What is it? One of the greatest clichés is that the simplest things in life are the best. Well, if this resource is anything to go by, that cliché is 100% true. From such a simple hook – draw two straight lines across a rectangle and work out the size of the fractions you create – can come a whole host of fun, engaging and challenging investigation and discovery.

How can it be used? This activity is right up my street. Any of you who have used any of the activities in my Rich Task Collection (all available for free on TES) will know that I am a huge fan of a simple set up, which is the followed by interesting probing questions and lines of inquiry. So, for something like this, once the students have created a few fractions, we could ask them:

• What is the smallest fraction you can make?
• How about the largest?
• How many of the different denominators between 1 and 10 can you make?
• How many of the different numerators between 1 and 5 can you make?
• How many different ways can you slit the shape into halves?
• How many different ways can you create a quarter?
• How many different ways can you create two equal fractions?
• What about if you could use 3 lines?
• What about if the rectangle has more dots around the outside?
• What if the rectangle was divided into equal sections?

I feel another rich task coming along!

Thanks for sharing! Craig Barton

Download Fractions Investigation

View the author’s other resources

Leave a Reply

Fraction Word Problems Worksheet

Related Topics: More Lessons on Fractions More Fraction Worksheets

Printable “Add/Subtract Fractions” worksheets: Add Like Fractions Add Unlike Fractions Subtract Like Fractions Subtract Unlike Fractions Subtract Fraction from Whole Number Add/Subtract Fraction Word Problems

Solving fraction word problems involves understanding the problem, identifying what is given, determining what needs to be found, and then applying appropriate fraction operations and problem-solving strategies.

• Read the problem carefully to understand what it is asking. Identify key information and what needs to be found.
• Determine what information is given in the problem and what is known. Pay attention to quantities, fractions, operations, and any other relevant details.
• Identify what the problem is asking you to find. Is it a fraction, a sum or difference of fractions, a fraction of a quantity, etc.?
• Decide on a strategy to solve the problem. This may involve using fraction operations such as addition, subtraction, multiplication, or division, or using visual models like fraction bars or number lines.
• Apply the chosen strategy to solve the problem step by step. Perform any necessary fraction operations, simplify fractions if needed, and convert between mixed numbers and improper fractions as necessary.
• After solving the problem, check your answer to ensure it makes sense and matches the problem’s requirements. Re-read the problem to verify that you have answered the question correctly.
• Clearly state your answer in the context of the problem. Use proper units and labels if applicable.

Printable Fraction Word Problems Answers on the second page.) Fraction Word Problems Worksheet #1 Fraction Word Problems Worksheet #2

Online Fraction Word Problems

A group of people were standing in line. 3 / 8 of the people were boys and 1 / 4 of the people were girls. How much of the group was made up of boys and girls? Answer : How much of the group was not boys or girls? Answer:

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Paper Halving   Age 5 to 11 Challenge Level

Linked Chains   Age 7 to 11 Challenge Level

What Do You See Here?   Age 7 to 11 Challenge Level

Fraction Lengths   Age 7 to 11 Challenge Level

• History of Fractions
• More Fractions Upper Primary

You may also like

Digging Into Geometry

Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.

Playing with Dice

We're starting the school year with some of our favourite dice activities.

Playing with Numbers

Be a mathematician - play around with numbers.

Multiplying Fractions Practice Questions

Click here for questions, click here for answers.

multiplication

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

• International
• Schools directory
• Resources Jobs Schools directory News Search

GCSE (9-1) Maths-Fractions - Full Lesson

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

Last updated

1 February 2021

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

A full lesson which covers:

• Improper Fractions and Mixed Numbers
• Reciprocals
• Converting between Fractions, Decimals and Percentages
• Ordering Fractions, Decimals and Percentages
• Fractions of Amounts
• Simplifying Fractions
• Equivalent Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions

Creative Commons "NoDerivatives"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

This resource hasn't been reviewed yet

To ensure quality for our reviews, only customers who have downloaded this resource can review it

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

• 6th Grade Math
• Multiplying fractions

6th Grade multiplying fractions worksheets with answers

Hello! Are you ready to engage in another enjoyable math adventure? Then join us today, and let’s discuss multiplying fractions skills. In this article, we’ll share an outstanding collection of 6th Grade multiplying fractions worksheets with answers covering fun and engaging activities and exercises for multiplying fractions.

Learn how to multiply fractions like a pro in 6th Grade with engaging printable worksheets

In 6th grade, understanding and multiplying fractions is a crucial skill that sets the foundation for advanced math concepts. But fear not because we have the solution to make learning fractions a breeze. Our aim for introducing Mathskills4kids’ engaging and printable worksheets is to help your child in 6 th Grade learn how to multiply fractions like a pro .

These worksheets are carefully crafted to ensure your child will grasp multiplying fractions and find joy. With colorful visuals, interactive exercises, and step-by-step explanations, our worksheets provide a hands-on learning experience that will keep your child engaged and motivated.

Whether your child is a visual learner or prefers a more hands-on approach, our worksheets cater to all learning styles. So, say goodbye to those confusing fractions and hello to confidence in math. Get ready to multiply fractions easily with our captivating printable worksheets for 6th-grade students!

BROWSE THE WEBSITE

Download free worksheets, grade 6 math topics.

• Whole numbers

Multiplication

• Exponents and square roots
• Number theory
• Add & subtract decimals
• Multiply & divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Operations with integers
• Mixed operations
• Rational numbers
• Problems solving
• Ratio & proportions
• Percentages
• Measuring units
• Consumer math
• Telling time
• Coordinate graph
• Algebraic expressions
• One step equations
• Solve & graph inequalities
• Two-step equations
• 2D Geometry
• Symmetry & transformation
• Geometry measurement
• Data and Graphs
• Probability

Start practice on Sixth Grade here

Why 6th-grade students need to learn how to multiply fractions.

Do you know why 6th-grade students need to learn how to multiply fractions ? Maybe no. This is because, aside from being an essential skill in 6 th Grade, the fractions multiplication concept helps students understand the concept of fractions as parts of a whole and how to combine fractions with different denominators.

Multiplying fractions also prepare 6 th graders for more advanced topics in math, such as ratios, proportions, decimals, and algebra. By learning how to multiply fractions, 6th-grade students can solve real-world problems involving fractions, such as finding the area of a rectangle, scaling a recipe, or dividing a pizza.

Benefits of using Mathskills4kids’ printable worksheets for fractions multiplication practice

Mathskills4kids’ Printable worksheets are among the best ways to help 6th-grade students practice fractions multiplication . Printable worksheets offer many benefits , such as:

• They provide a variety of problems with different levels of difficulty and formats, such as word problems, equations, and diagrams.
• They allow students to work at their own pace and check their answers with the answer key.
• They can be used individually or in groups in class or at home.
• They can be customized to suit the needs and interests of each student by choosing the topics, themes, and number of problems.
• They provide an answer sheet guide for quick and easy corrections.
• They can be used to review, reinforce, or extend the concepts taught in the lesson.

How to effectively use Mathskills4kids’ printable worksheets for multiplying fractions

To make the most of Mathskills4kids’ printable worksheets for multiplying fractions , here are some tips:

• Before giving the worksheets to the students, review the steps and rules for multiplying fractions, such as finding the common denominator, simplifying the fractions, and cross-canceling.
• Explain the purpose and objectives of each worksheet, and give clear instructions on how to complete it.
• Monitor the student's progress and provide feedback and guidance as needed.
• Encourage the students to show their work and explain their reasoning for each problem.
• Review the worksheets with the whole class and discuss the solutions and strategies used by the students.

Tips for teaching multiplication of fractions

Teaching multiplication of fractions can be challenging but also rewarding. Here are some tips to make it easier and more effective:

• Start with simple fractions with common denominators that can be easily multiplied mentally or with a calculator.
• Use concrete examples and contexts that relate to the students' lives and interests, such as sports, music, or food.
• Use multiple representations and methods to show how to multiply fractions, such as pictures, diagrams, number lines, area models, or algorithms.
• Connect multiplying fractions to other math concepts and operations that the students already know, such as adding fractions, dividing fractions, or multiplying whole numbers.
• Scaffold the learning process by gradually increasing the complexity and variety of the problems and fractions.

Common mistakes to avoid when multiplying fractions

When multiplying fractions, 6th-grade students may make mistakes that can affect their accuracy and understanding. Some of the common mistakes to avoid when multiplying fractions are:

• Forgetting to find the common denominator before multiplying fractions with different denominators.
• Forgetting to simplify or reduce the fractions before or after multiplying them.
• Forgetting to cross-cancel or cross-multiply when multiplying fractions in their lowest terms.
• Confusing the order of operations when multiplying fractions with mixed numbers or other operations.
• Confusing multiplying fractions with adding or subtracting fractions.

Teachers should emphasize the importance of following the steps and rules for multiplying fractions correctly to avoid these mistakes. They should also model how to check the answers for reasonableness and accuracy.

Multiply fractions: Meaning and example

Fractions are parts of a whole, and multiplying them means finding how many parts of one fraction are in another. For example, if you have 2/3 of a pizza and want to share it with 4 friends, how much pizza does each friend get? To find out, multiply 2/3 by 1/4, i.e., the fraction representing one friend's share.

To multiply fractions, you need to follow these steps:

• Multiply the numerators (the top numbers) of both fractions. In our example, that would be 2 x 1 = 2.
• Multiply the denominators (the bottom numbers) of both fractions. In our example, that would be 3 x 4 = 12.
• Simplify the resulting fraction by dividing the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest number that can divide both numbers evenly. In our example, the GCF of 2 and 12 is 2, so we divide both by 2 and get 1/6.

The final answer is 1/6, which means each friend gets one-sixth of the pizza. You can check your answer by adding all the fractions and seeing if they equal the original fraction. In our example, if we add up 1/6 four times, we get 4/6, equivalent to 2/3.

Engaging activities and exercises for multiplying fractions

Besides Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers , there are many other fun and engaging activities and exercises that can help 6th-grade students practice multiplying fractions, such as:

• Playing games that involve multiplying fractions, such as bingo, dominoes, or card games.
• Using manipulatives representing fractions, such as fraction strips, fraction circles, or fraction bars.
• Creating posters or presentations illustrating fractions multiplication using visual models or real-life examples.
• Making crafts or recipes that require multiplying fractions , such as paper snowflakes, origami animals, or cookies.
• Taking quizzes or tests that assess the student's understanding and skills in multiplying fractions.

More fun and engaging activities and exercises to improve 6 th grader’s multiplying fractions skills are:

To play, one person draws a fraction card and reads it aloud. Then, everyone multiplies the fraction by another fraction of their choice and looks for the answer on their bingo card. The first person to get five answers in a row, column, or diagonal wins.

To play, shuffle the dominoes and deal seven to each player. The rest of the dominoes form the draw pile. The first player places a domino on the table. Then, each player takes turns placing a domino next to an existing one so that the fraction product on one end matches the fraction on the other.

If a player cannot place a domino, they will draw one from the pile. The game ends when one player runs out of dominoes or when no one can place a domino. The player with the least number of dominoes left wins.

They will need a set of fraction puzzle pieces to be made or bought online. To do this activity, choose a puzzle and separate the pieces. Then, solve each fraction multiplication problem on the pieces and find the matching piece with the answer. Fit the pieces together until the picture is complete.

Bonus: Resources for boosting multiplying fractions skills for 6th-graders

If you want to help your 6th-grade students master multiplying fractions, you can also use some online resources that offer interactive games, videos, quizzes, and more. Here are some of the best websites that you can use to supplement Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers :

• Math Playground : This website has a variety of fun and challenging games that let students practice multiplying fractions in different contexts, such as pizza, candy, and fractions of fractions. Students can also watch videos explaining multiplying fractions concepts and strategies. https://www.mathplayground.com/index_fractions.html .
• Khan Academy : This website has a comprehensive course on multiplying fractions that covers everything from the basics to the advanced topics, such as mixed numbers, word problems, and cross-canceling. Students can watch videos, do exercises, and take quizzes to check their understanding and progress. https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions .
• IXL : This website has many practice questions on multiplying fractions aligned with the Common Core standards. Students can choose from different difficulty levels and get instant feedback and explanations. They can also earn awards and certificates for their achievements. https://www.ixl.com/math/grade-6/multiply-fractions .
• Math Games : This website has many engaging and interactive games that let students practice multiplying fractions in a fun way. Students can play against the computer or with other players online. They can also customize their avatars and earn coins and trophies. https://www.mathgames.com/skill/6.42-multiply-fractions .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Multiplying fractions is an essential skill that 6th-grade students need to learn and master. It helps them develop their mathematical thinking and problem-solving abilities.

By using Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers and other activities and exercises, teachers can help their students practice and reinforce their multiplying fractions skills.

Also, with fun tips and strategies, teachers can make their teaching more effective and engaging. Moreover, with the suggested online resources in this article, teachers can provide more opportunities and challenges for their students and encourage their 6th-grade them to excel in multiplying fractions and enjoy math.

WHAT’S THIS ALL ABOUT?

This is mathskills4kids.com a premium math quality website with original Math activities and other contents for math practice. We provide 100% free Math ressources for kids from Preschool to Grade 6 to improve children skills.

Subtraction

Measurement

Telling Time

Problem Solving

Data & Graphs

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

SUBSCRIBE TO OUR NEWSLETTER

Privacy policy.

Our team Don't Pass on to third parties any identifiable information about mathskills4kids.com users. Your email address and other information will NEVER be given or sold to a third party.

USE OF CONTENTS

Many contents are released for free but you're not allowed to share content directly (we advise sharing website links), don't use these contents on another website or for a commercial issue. You're supposed to protect downloaded content and take it for personal or classroom use. Special rule : Teachers can use our content to teach in class.