Divide Fractions by Whole Numbers

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?