## What is a fraction?

A fraction is a **part (or parts) of something**.

A fraction is written like this:

A fraction is a **part (or parts) of something**.

A fraction is written like this:

The **numerator** shows us how many parts of something we have.

The **denominator** shows us how many parts there are in total.

To find a fraction of an amount, we have to work out how much that part is worth within the whole.

There are different ways to do this:

**Visual grouping**

Let's look at how to find ** ^{1}/_{4} of 20**:

1. Look at the **denominator** (4). It tells you how many groups you need to share the **amount** (20) into equally.

2. Draw four circles to represent the groups. Share the **amount** (20) into them equally by drawing dots, crosses, etc.

3. Look at the **numerator** (1). It tells you how many of the groups you need to look at.

4. There are 5 dots in one group.

So, ^{1}/_{4} of 20 = 5

**Using multiplication and division**

Let's look at how to find ** ^{3}/_{4} of 20**:

1. **Divide** the amount (20) by the **denominator** (4).

2. **Multiply** this answer by the **numerator** (3).

So, ^{3}/_{4} of 20 = 15

This method can also be used to find out a **fraction of a set of objects,** or a **fraction of a shape:**

Finding fractions of amounts is first mentioned in Year 2 of the Mathematics Programme of Study in the National Curriculum:

*write simple fractions for example,*^{1}/_{2}of 6 = 3 and recognise the equivalence of^{2}/_{4}and^{1}/_{2}.

This objective is covered in our Year 2 scheme, 'Can we find fractions of numbers?'

Finding fractions of amounts is specifically mentioned in Years 3 and 4 of the Mathematics Programme of Study in the National Curriculum:

**recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators**

This objective is covered in our Year 3 scheme, 'Finding Fractions'.

**solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number**

This objective is covered in our Year 4 scheme, 'Proportion Problems'.