# Equivalent fractions

## Learning focus

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

This includes:

- a quiz
- a learning summary
- two videos

# Quiz

First, have a go at this quiz to see what you know about equivalent fractions.

# Learn

### Simplifying 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.

You can see that:

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.

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).

# Play

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

# There's more to learn

Have a look at these other resources.