Finding fractions of an amount or set of objects

Learning focus

Learn how to identify a non-unit fraction of an amount or set of objects.

This includes:

  • two videos
  • two worksheets


In this lesson, you will learn how to find a fraction of an amount.

If you want to use some objects like building blocks, buttons or toys to sort, then you will need to get about 40 things to help you. Or, you can use a pencil and some paper to draw some circles to help you to sort.

You will learn to solve these problems in two steps.

We will start by finding 'one fifth of a group'. Then we will use that to work out 'three fifths'.

Watch the video below to find out more!

Now we will practise finding different fractions of a set. Remember, whatever fraction we are finding, we use the same two steps.

Watch the video below to find out how...


Activity 1

Have fun with this worksheet and try to work out the answers using non-unit and unit fractions.

These problems will help you practise using the two stages of thinking you learnt in the videos.

Can you use question 1 on the worksheet to explain why we first calculate the unit fraction of an amount?

Non-unit and unit fractions

Click here for the answer sheet

Activity 2

Build your confidence in working out fractions of amounts with this activity. You could print out the worksheet or write the answers down separately.

You might like to find some small objects to sort, like paperclips or buttons. Or, you can draw circles or use your times table knowledge to help your thinking.

Fractions of a set of objects

Click here for the answer sheet


Play Guardians: Defenders of Mathematica to learn more and sharpen your skills on this topic.

Guardians: Defenders of Mathematica

There's more to learn

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

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