# Equivalent fractions

## Home learning focus

Learn how to use multiplication and division (the abstract method) to find equivalent fractions.

This includes:

- two videos
- two worksheets

# Learn

### Simplfying fractions to find equivalent fractions

In this video from KS2 Maths a runner simplifies fractions to find out how close they are to the finish line.

A fraction can be written in different ways and still mean the same thing. These are called **equivalent fractions**.

Look at the shaded areas in these rectangles.

So 3/5 = 6/10

You can produce lots of equivalent fractions by multiplying or dividing the top and bottom by the same number.

When writing equivalent fractions, whatever you do to the numerator, you do to the denominator. For example, if you multiply the top by 2, you must also multiply the bottom by 2.

### Visualising equivalent fractions

This video from KS3 Maths demonstrates how to visualise equivalent fractions.

Equivalent fractions can best be visualised by using a bar model. If you take two identical bars and split one in half and the other into sixths you will see that one half is exactly the same as three sixths, i.e. ¹/₂ = ³/₆.

This works because when 1 is the numerator and 2 is the denominator of a fraction, and both are multiplied by 3, you get 3 and 6 (or three-sixths).

# Practise

## Activity 1

**Understanding equivalent fractions worksheet**

Can you complete this worksheet from HeadStart Primary about identifying, naming and writing equivalent fractions?

Click here for answers and refer to Page 58.

## Activity 2

**Equivalent fractions worksheet**

Now try this worksheet from Twinkl that tests your understanding and ability to use the abstract method to identify and create equivalent fractions.

Click here for the answers.

# There's more to learn

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