In this activity, we will be working out 1/3, 1/4, 2/4, and 3/4 of numbers.

We won't have pictures to help us, so we need to have a look at how we can work these out!

To solve these we divide by the denominator then we multiply by the numerator.

**Key vocabulary:**

Numerator - the first number (the top one) in a fraction.

Denominator - the second number (the bottom one) in a fraction.

Let's start by looking at how we work out 1/4 and 1/3 of a number where the numerator is 1.

**1/4 of 12 = **

This means 12 needs to be split into four equal groups which can be written:

12 ÷ 4 =

To work this out we need to work out how many 4s are in 12.

Let's count: 4, 8, 12.

That took three fours so our answer is three.

**12 ÷ 4 = 3**

The numerator is 1 so we are only looking at one group.

So** 1/4 of 12 is 3**

**1/3 of 12 =**

The denominator is three, so we need to divide by 3:

12 ÷ 3

Let's count in 3s until we reach 12:

3, 6, 9, 12

That took four threes.

**12 ÷ 3 = 4**

The numerator is 1, so we are only looking at one group so this is our answer.

So **1/3 of 12 is 4**

Now let's have a look at what we do when the numerator is bigger than 1:

**2/4 of 12 = **

First, we look at the denominator and that is what we are dividing by, which is 4:

12 ÷ 4 =

To work this out we need to work out how many 4s are in 12.

Let's count: 4, 8, 12.

That took three fours so our answer is three.

**12 ÷ 4 = 3**

**1/4 of 12 is 3**

But as the numerator is 2, it means we are looking for 2/4, so now we need to multiply the answer by 2:

3 x 2 = 6

This means **2/4 of 12 is 6**

**3/4 of 28 = **

This time we are starting with 28

We look at the denominator and that is what we are dividing by, which is 4:

28 ÷ 4 =

To work this out we need to work out how many 4s are in 28.

Let's count: 4, 8, 12, 16, 20, 24, 28

That took seven fours so our answer is seven.

28 ÷ 4 = 7

**1/4 of 28 is 7**

But as the numerator is 3, it means we are looking for 3/4, so now we need to multiply the answer by 3:

7 x 3 = 21

**3/4 of 28 = 21**

Do you think you can give these questions a go?

Just remember, first we divide by the denominator then we multiply by the numerator.