# Add and subtract fractions: Same denominator

## In a nutshell

Fractions which have the same denominator are called 'like' fractions. You can add or subtract like fractions using the following simple steps.

## Adding fractions with the same denominator

#### procedure

- Make sure the bottom numbers (denominators) are the same.

- Add the top numbers (numerators) together. Leave the denominator as it is.

- If necessary, simplify the fraction.

##### Example 1

*Jeremy and Sonia are at a party and they both eat one quarter of a pizza. How much pizza did they eat altogether?*

*They both had an equal sized portion of pizza:*

*$\frac{1}{4} + \frac{1}{4}$*

*Add together the numerators:*

*$\frac{1}{4} + \frac{1}{4} = \frac{1+1}{4} = \frac{2}{4}$*

*Simplify the fraction:*

$\frac{2}{4} = \frac{1}{2}$

## Subtracting fractions with the same denominator

#### PROCEDURE

- Make sure the bottom numbers (denominators) are the same.

- Subtract the top numbers (numerators). Leave the denominator as it is.

- If necessary, simplify the fraction.

##### Example 2

*A pie is split into eight equal slices. Three guests each take one slice of the pie. What fraction of the pie remains?*

*Eight slices of pie were present at the start of the problem. Three slices the size of an eighth were removed:*

*$\frac{8}{8} - \frac{3}{8}$*

*Subtract the numerators:*

*$\frac{8}{8}-\frac{3}{8} = \frac{8-3}{8}= \frac{5}{8}$*

**Note:** In this example, the fraction cannot be simplified. Not every fraction can be simplified.