Practise Dividing Fractions

In this activity, we will be learning how to divide fractions by other fractions. 

We can do this by following some simple steps!

Remember: Keep, Flip and Change!

KFC

No, not that sort of KFC. 

Read on and we'll show you!

Let's try dividing a pair of fractions: 1/2 ÷ 2/3

Step 1: Keep the first fraction the same.

1/2 stays as 1/2

Step 2: Flip the second fraction.

2/3 becomes 3/2

Step 3: Change the operation from divide to multiply.

So, our equation will look like this: 1/2 × 3/2

To multiply the fractions, we simply multiply the numerators and the denominators. 

1/2 x 3/2 = 3/4

3/4 cannot be simplified so this our final answer.

Let's try an example question together. 

Example

Work out the following.

1/9 ÷ 1/4 = __

Answer

First, we do KFC - keep, flip and change.

1/9 ÷ 1/4 will become 1/9 × 4/1

Then we multiply.

1/9 × 4/1 = 4/9

4/9 cannot be simplified any further, so this is our final answer. 

Now it's time to try some of these questions yourself. 

Want a bit more help with this before you begin?

Why not watch this short video?