Multiplying fractions and mixed numbers by integers

Home learning focus

In this lesson you will learn how to multiply fractions (including mixed numbers) by a whole number.

This lesson includes:

  • two videos
  • three activities

Created in partnership with Pearson


This lesson will teach you different methods for multiplying a fraction by a whole number.

We will learn two different methods for multiplying mixed numbers and improper fractions.

It is always useful to learn more than one method. Then, you can choose which one you prefer to use to solve different problems accurately and with confidence.

Mixed numbers are numbers that we write with a whole number part and a fraction part.

Improper fractions are fractions with a numerator greater than the denominator.

Watch the video below from Pearson to find out how to multiply a simple fraction by a whole number.

Now watch the second part of the video. Here we will think about two methods for multiplying a mixed number by a whole number.


Activity 1

These activities from Pearson Power Maths help you think deeply about how the methods for multiplying fractions work.

In question 3, how can you use what you discovered in part a) to help you find the answer to part b)? Can you find more than one answer for each number?

Print out the worksheet below or write your answers on paper.

Worksheet 1

Activity 2

Use these independent practice activities to build your confidence and accuracy when choosing a method to multiplying fractions.

In question 2, there aren’t any pictures given with the question. Does this change how you will find the solution?

Print out the worksheet below or write your answers on paper.

Worksheet 2

Activity 3

Guardians: Defenders of Mathematica

Play the Forest of Fractions and Decimals level to further test your knowledge of fractions.

Guardians: Defenders of Mathematica

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