problem solving multiplying and dividing fractions

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Multiply & Divide Fractions

Multiplication and division of fractions and mixed numbers.

These grade 5 worksheets begin with multiplying and dividing fractions by whole numbers and continue through mixed number operations.  

Sample Grade 5 Multiplying Fractions Worksheet

More fractions worksheets

Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

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Multiplying and Dividing Fractions Worksheets

Since multiplication and division of fractions are closely related, we have mixed the two operations in these worksheets.

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Teaching with Jennifer Findley

Upper Elementary Teaching Blog

Fraction Word Problems | Multiplying and Dividing Fractions

Word problems + fractions = a lot of struggle for many students. Especially when you throw in new concepts like multiplying and dividing fractions. Those fraction word problems are always pretty tricky for my students. The first year that I taught multiplying and dividing fractions, I really had to spend some time breaking down the concepts myself in order to best help my students. On this post, I will share an anchor chart and a free word problem sort that helps my students solve these types of fraction word problems and see the difference/connection between the two.

Note: This is based on 5th grade standards and focuses only on multiplying fractions less than 1 and dividing with unit fractions and whole numbers. Click here to grab some free printables to help your students with solving word problems involving multiplying mixed numbers.

Teach Multiplying and Dividing Fractions with Models and a Context

Before even beginning with word problems, I always introduce multiplying and dividing fractions (separately) with a context/situation. And then we work through the situation and solve the problem/ answer the question using models . This really helps the students conceptually understand the operations. When students are only exposed to algorithms, they may not fully understand the operation. As a result, they will struggle with choosing the correct operations when solving word problems.

Here are my go-to introductory word problems for when I first introduce multiplying and dividing fractions (again I introduce each one separately). I prefer to use fudge for all of my introductory word problems because I love fudge, my students love it, the contexts make sense and are relatable, and it is almost an inside joke between us by the middle of the year. I also use student names or teacher names in the problems whenever possible and friendly fractions for easy modeling and visualizing.

Multiplying Fractions Introductory Word Problem: While shopping at a bakery, Ms. Findley purchased 1/2 of a pound of chocolate fudge. After dinner that night, she ate 1/4 of the chocolate fudge that she bought. How much of a pound of fudge did Ms. Findley eat?

Dividing Fractions Introductory Word Problem: Jamal’s mother made 1/3 of a pound of his favorite fudge, peanut butter caramel fudge. She divided the fudge into 4 equal containers. How much fudge did she put in each container?

How I Use the Introductory Word Problems: I write the problem on an anchor chart, gather my students at our mini-lesson area (around a large rug) and follow these steps:

• Read the word problem once (myself or a student).
• Read it again, if needed (based on the level of my students)
• Have the students retell the problem with partners in their own words.
• Have a few students share their retellings with the class.
• Focus on what the question is asking by writing the question in a sentence.
• Use models to demonstrate the situation in the problem (since these are new concepts for them, this part is heavily teacher driven, but typically I prefer student driven). The students practice with models as well. This can be paper folding models, visual representation drawings, or both — my favorite is both in the beginning.
• Translate the visual into a labeled equation ( read more about labeled equations here )  and answer the question.
• Discuss the answer and determine if it makes sense.
• Practice similar/same situations but with different numbers.

Reminder : I teach both of these concepts separately for about a week each.

Fraction Word Problems: Do I Divide or Multiply?

Once my students have “mastered” multiplying and dividing fractions and have seen each in a variety of contexts (through the word problems I use), they are ready to tackle both and see the connections and differences between the two. To do this, I use this anchor chart to show some of the situations and contexts that require multiplication and division of fractions. We discuss each one and how it relates back to multiplication and division.

Since it is impossible to expose students to every type of situation and context, the blurb at the end of the chart is key. The students really need to make a habit of checking to see if their answers make sense. This will help them if they choose the wrong operation.

FREE Multiplying and Dividing Fractions Word Problem Sort

In addition to the above anchor chart, we also do a word problem sort. The word problems were specifically written to match the contexts from the chart so this is a great extension of the lesson involving the anchor chart. The students read the word problems, check the chart, and then sort them accordingly. I do this activity with partners or small groups (pulling a group to work with me that may struggle based on previous assessments using exit slips ), but this could also be done as a math center activity.

My Go-To Resource for Teaching Multiplying and Dividing Fractions

The anchor chart and the sort are used after I have introduced, and we have practiced both operations in isolation. I do this by using resources from my Multiplying and Dividing Fractions resource.

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Multiplying and Dividing Fractions (And Multiplying Mixed Numbers)

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More helpful word problem posts, freebies, and resources.

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5th Grade Word Problem of the Day TpT Resource

More Fraction Resources, Freebies, and Blog Posts:

Free Fraction Mats : I use these free downloadable fraction mats to support my students further as they add and subtract fractions with unlike denominators.

Free Fraction Pacing Guide: This blog post shares an “I Can” checklist for students and shares how I pace my 5th grade fraction skills.

Free Fraction Fun with Snacks Printables: If you can use food in your instruction, your students will love reviewing fraction operations (multiplication and division) using Twizzlers, skittles, and brownies.

4 Ways to Teach Students to Make Common Denominators: Read about the four ways I teach my students to find common denominators and grab a free printable.

Free Fraction Activities: Grab some super easy to prep fraction activities on this post.

Share the Knowledge!

Reader interactions.

January 19, 2019 at 10:34 pm

This is very helpful especially for new teachers. I really appreciate the free printables.

February 12, 2019 at 1:10 am

I am teaching my daughter math and this is super helpful; thank you so much!!

September 22, 2020 at 11:10 am

I like turtles

September 26, 2020 at 2:52 pm

Thank you for the printable Fraction word problem When I read something I am still unsure if you multiply or divide word problems are difficult thanks for your help

December 19, 2020 at 4:12 pm

This is excellent! As an educator sometimes I can notice that a student is still struggling with fractions

June 16, 2022 at 10:16 pm

Tomorrow, I have a math test and I was confused. This really helped me. Thank you so much

December 14, 2022 at 9:01 am

Great activity for my 6th graders! Thank you.

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I’m Jennifer Findley: a teacher, mother, and avid reader. I believe that with the right resources, mindset, and strategies, all students can achieve at high levels and learn to love learning. My goal is to provide resources and strategies to inspire you and help make this belief a reality for your students.

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Multiplying and Dividing Fractions

(randomly generated worksheets).

Welcome to our Multiplying and Dividing Fractions Worksheet area.

Here is our free worksheet generator for generating your own fraction multiplication and division questions.

If you are looking to create your own custom-made fraction worksheets, then look no further!

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Using the random sheet generator will allow you to:

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Multiplying and Dividing Fractions Worksheet Generator

Here is our random worksheet generator for fraction multiplication and division worksheets.

Using this generator will let you create your own worksheets for:

• Multiplying and dividing fractions by whole numbers;
• Dividing whole numbers by fractions;
• Multiplying and dividing improper fractions;
• Choose exactly which fractions you want to use
• Choose which part of the equation you want to be missing;

To start creating your sheet, choose an option from the Number values box below.

4 Steps to Your Worksheets...

• Choose your fractions values
• Choose your answer values
• Choose the number of questions
• View your sheet
• Print your sheet

Fraction Values

You can choose whole number values if you need multiplying and dividing fractions by whole numbers.

You can choose fraction values up to a given denominator value, so that if you choose fifths, then you can get any denominator up to fifths, i.e. halves, thirds, quarters, fifths.

Switch Values

You may want to randomly switch the values of Fraction 1 and Fraction 2, especially if one of the values is a whole number.

If this is selected, it will randomize which fraction has which value - this is particulary useful for whole numbers and fractions.

In this way, you can practice dividing whole numbers by fractions and dividing fractions by whole numbers on the same sheet.

Fraction Types

For the generator you can either choose proper fractions, which is the default, or improper fractions. Proper fractions have a numerator less than the denominator.

Denominator Types

You can select either Unlike Denominators, which is the default, Like Denominators or Denominator Multiples.

If you select Like Denominators, then the denominators will be the same.

If you select Denominator Multiples, then one of the denominators will be a multiple of the other denominator.

If you select 'Improper Fractions' the generator will create both proper and improper fractions.

Operation Type

Missing factors.

Sometimes, you may want to add an extra layer of difficulty by providing a multiplication or division fraction equation where one of the other fractions is missing.

Having this feature turned on will create a missing fraction somewhere in the equation - it may be the first number, second number, or third number.

(Optional) Give your worksheet a title.

(Optional) Write out any instructions to go at the top of the sheet.

Fraction 1 values:

Fraction 2 values:

Switch Values:

Fraction Types:

Denominator Types:

Number of Questions:

Your worksheet will appear below.

Other Recommended Resources

Here are some of our other related worksheets you might want to look at.

Add Subtract Multiply Divide Fractions

• Add Subtract Multiply Divide Fractions (Randomly Generated)

Fraction Multiplication and Division Graded Worksheets

We also have a wide selection of graded multiplying and dividing fractions worksheets.

The sheets are carefully graded so that you can choose the most appropriate level you need.

There is also plenty of support and examples to help you to learn the relevant skills.

• Multiplying Fractions Worksheets
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• Dividing Fractions Worksheets
• Dividing Fractions by whole numbers
• Divide Whole numbers by Fractions
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Fractions Practice Zone

Take a look at our Online Fraction Practice Zone for finding and simplifying fractions.

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Great for using with a group of children as well as individually.

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We have a selection of different fraction calculators which will help you to add, subtract, multiply and divide fractions.

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Adding and Subtracting Fractions

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Dividing fractions word problems

Dividing fractions word problems arise in numerous situations. We will show you some examples. I recommend that you review the lesson about division of fractions before starting this lesson.

Dividing fractions word problems: a few examples

3 friends share 4/5 of a pizza. what fraction of pizza does each person get?

The amount to share is 4/5

Since the amount will be shared between 3 friends, the amount must be divided between 3 people.

So each person must get 4/5 divided by 3

(4 / 5) / 3 = (4 / 5) / (3 / 1) = 4 / 5 × 1 / 3 = (4 × 1) / (5 × 3)= 4 / 15

Each person will eat 4/15.

Indeed, 4 / 15 + 4 / 15 + 4 / 15 = 12 / 15 = 4/5 (divide 12 and 15 by 3 to get 4 / 5)

On June 21st, there were 9/10 of a billion stars visible to the naked eye.

On December 21st, there were 4/5 of a billion stars out visible to the naked eye.

How many times more stars were there visible on June 21st than December 21st?

9/10 divided by 4/5 = ?

Find the reciprocal of the divisor.

9/10 × 5/4 = ?

9/10 × 5/4 = 9/2 × 1/4

Solve 9/2 × 1/4 = 9/8

Simplify again

Did you have a hard time understanding the problems above? Did you not understand them at all? Take a look at this figure !

Do you need to master fractions once and for all? Check out my book about fractions .

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6 Free Multiplying and Dividing Fractions Word Problems Worksheets

This article will show you the multiplying and dividing fractions word problems worksheets. After reading this article, you will be able to know the procedure of multiplying and dividing fractions with some fundamental word problems. This article is suitable for grade 4 and 5 students.

Table of Contents

Download the following worksheets and practice more.

Word Problems 1

Word Problems 2

Word Problems 3

Word Problems 4

Word Problems 5

Word Problems 6

Fractions are common phenomena in mathematical operations. Multiplying and dividing fractions are quite tricky parts of math for 4th-grade or 5th-grade students.

Step by Step Solution of a Word Problem for Multiplying and Dividing Fractions

With the aid of these multiplying and dividing fractions word problems worksheets pdf, our kids will be able to master fundamental mathematics quickly and actively. Follow the steps given below and solve the problems.

A restaurant brought 5 ⅓ pounds of flour. They needed to spend 25 ⅔ dollars in total to buy that amount of flour. How many dollars were spent on one unit of flour?

Step 1: Point out the Fractions

In this step, point out the fractions. Here, the amount of flour is 5 ⅓ pounds and cost is 25 ⅔ dollars.

Step 2: Change the Mixed Fraction into Improper Fractions

Change the mixed fractions into improper fractions here. First, multiply the denominator by the whole number and then add the product to the numerator. You will get the improper fractions: 5 ⅓ = 16/3 and 25 ⅔ = 77/3

Step 3: Get the Unit Cost

Divide the total cost by the total amount of flour. You will find the unit cost here. Therefore, 77/3 / 16/3 After flipping, 77/3 x 3/16 = 77/16 = 4 13/16. So the unit cost is 4 13/16.

Download Free PDF Worksheet

Please download the following pdf with worksheets for 4th and 5th-grade students.

So today, we’ve discussed multiplying and dividing fractions with multiplying and dividing fractions word problems worksheets using the concepts of interactive word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of multiplication and division.

Hi there! This is Souptik Roy, a graduate of the Bangladesh University of Engineering and Technology, working as a Content Developer for the You Have Got This Math project of SOFTEKO. I am a person with a curious and creative mind. After finishing my Engineering degree, I want to explore different fields. This is why I am working here as a content developer. I have a massive interest in creative content writing. When I find that someone can learn something from my articles, this gives a lot of inspiration. hopefully, you will find interest in my article, if you have a child and want to teach them math with fun.

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Fraction Word Problem Worksheets

Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free!

Represent and Simplify the Fractions: Type 1

Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form.

• Download the set

Represent and Simplify the Fractions: Type 2

Before representing in fraction, children should perform addition or subtraction to solve these fraction word problems. Write your answer in the simplest form.

Adding Fractions Word Problems Worksheets

Conjure up a picture of how adding fractions plays a significant role in our day-to-day lives with the help of the real-life scenarios and circumstances presented as word problems here.

(15 Worksheets)

Subtracting Fractions Word Problems Worksheets

Crank up your skills with this set of printable worksheets on subtracting fractions word problems presenting real-world situations that involve fraction subtraction!

Multiplying Fractions Word Problems Worksheets

This set of printables is for the ardently active children! Explore the application of fraction multiplication and mixed-number multiplication in the real world with this exhilarating practice set.

Fraction Division Word Problems Worksheets

Gift children a broad view of the real-life application of dividing fractions! Let them divide fractions by whole numbers, divide 2 fractions, divide mixed numbers, and solve the word problems here.

Related Worksheets

» Decimal Word Problems

» Ratio Word Problems

» Division Word Problems

» Math Word Problems

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Multiplying and Dividing Fractions Worksheets

Multiplying and Dividing Fractions Worksheets students can learn both Multiplying and Dividing Fractions. Word problems are a great way to help students see the relevance of their learning in everyday life as they apply their knowledge of dividing and multiplying fractions to cooking, crafting, eating, and more. The applications of fractions in everyday life are endless; they are of great importance and profoundly impact everything around us.

Benefits of Multiplying and Dividing Fractions Worksheets

Multiplying and Dividing Fractions Worksheets help students to understand the concept behind the language. These math worksheets make kids learn Fractions with no struggle. Students can learn math skills behind fractions. Understanding and learning to work with fractions is also a process.

Printable PDFs for Multiplying and Dividing Fractions Worksheets

The best approach is to use everyday activities to reinforce the concept. Children can download the pdf format of these easily accessible Multiplying and Dividing Fractions worksheets to practice and solve questions for free.