Divide fractions by integers

Home learning focus

In this lesson you will learn how to divide fractions by a whole number.

This includes:

  • two videos
  • two worksheets

Created in partnership with Pearson.

Learn

These activities will teach you one method for dividing fractions by a whole number.

We will start by thinking visually, using diagrams.

After that, once you have built your understanding, we think about how we can work quickly and efficiently.

At the end of the lesson, we will look at a problem for you to think about in order to extend your learning.

Throughout these activities and the independent practice questions, if you want to draw your own diagrams to begin with, that is fine. The idea is that once you have worked with the diagrams a few times and become confident with the methods, you won’t need to draw the diagrams every time!

Divide fractions by integers - Part a

This lesson starts by thinking about how to divide a simple fraction into two equal parts.

Divide fractions by integers - Part b

Now we will look at a method for dividing fractions by thinking carefully about the numerator of the fraction, and the number you need to divide by.

Practise

Activity 1

Divide fractions by integers worksheet 1

These activities help you develop a deep understanding of how to divide fractions by thinking carefully about the numerator.

  • In question 2, you have to work out what each picture represents before you can find the solution to the calculation.
Divide fractions by integers worksheet 1

Click here for the answers.

Activity 2

Divide fractions by integers worksheet 2

These independent practice questions will help you to build your confidence and accuracy when choosing an efficient method to divide fractions.

  • In question 3 you can try to find the solution without drawing a diagram. If you need to, you can use the blank diagrams to help you visualise the problem.
Divide fractions by integers worksheet 2

Click here for the answers.

There's more to learn

Have a look at these other resources around the BBC and the web.

BBC Bitesize Daily
KS2 Maths
7 - 11 Maths