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

 

When we divide by 2, we are halving something.

When we divide by 3, we are finding a third of it.

When we divide by 4, we are finding a quarter of it.

 

Dividing by 2 is the same as multiplying by 1/2.

Dividing by 3 is the same as multiplying by 1/3.

Dividing by 4 is the same as multiplying by 1/4 etc.

 

 

Let's try an example question together. 

 

Example

Work out the following.

1/9 ÷ 4 = __

 

Answer

Because dividing by 4 is the same as finding one quarter of a number, this is the same as

1/9 × 1/4

 

Step 1: Multiply the numerators

1 × 1 = 1

 

Step 2: Multiply the denominators

9 × 4 = 36

 

So, the answer is

1/36

 

1/36 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?