In this activity, we will be learning how to compare unit fractions of numbers and quantities.

Remember that the **top number **in a fraction is called the **numerator.**

The **bottom number** is called the **denominator.**

A **unit fraction** uses one as a numerator.

A **non-unit fraction **uses a number larger than one as a numerator.

Let's look at an example of finding a unit fraction of an amount.

Here are eight dogs.

To find one quarter of them (1/4), we need to share 8 into 4 equal groups.

8 ÷ 4 = 2

There will be two dogs in each group.

So, one quarter of eight is 2.

1/4 of 8 = 2

Look at the picture below.

How many cats will be in **one third**?

Or we could say what is one third of these cats?

=

Let's look carefully at the animals.

There are 6 cats.

To find one third (1/3), we must divide them into 3 equal groups.

6 ÷ 3 = 2

So, one third of 6 is 2.

1/3 of 6 = 2

Let's try a question where we need to compare unit fractions of amounts.

**Example**

Which is larger: 1/3 of 6 or 1/2 of 8?

**Answer**

We know from the examples that 1/3 of 6 is 2.

To find 1/2 or 8, we divide by 2.

8 ÷ 2 = 4

1/2 of 8 is 4.

So, 1/2 of 8 is** larger** than 1/3 of 6.

Are you ready to try some of these for yourself?