# Add and subtract factions with the same denominator

Adding two fractions with the same denominator is straightforward:

• Add the numerators (top numbers)
• Don't add the denominators (bottom number). This stays the same.
• Simplify the fraction if required.

## Example

What is $$\frac{2}{7} + \frac{4}{7}$$?

• Add the numerators: $$\frac{2}{7} + \frac{4}{7} = \frac{6}{\,}$$
• Don't add the denominators: $$\frac{2}{7} + \frac{4}{7} = \frac{6}{7}$$
• Simplify the fraction if required: $$\frac{6}{7}$$ is already in its simplest form.

Subtracting fractions with the same denominator can be done in the same way.

Try it out with these sample questions.

Question

Calculate the following:

1. $\frac{2}{3} - \frac{1}{3}$
2. $\frac{4}{5} - \frac{2}{5}$
3. $\frac{7}{10} - \frac{3}{10}$
1. $\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$
2. $\frac{4}{5} - \frac{2}{5} = \frac{2}{5}$
3. $$\frac{7}{10} - \frac{3}{10} = \frac{4}{10}$$. This can be simplified to $$\frac{2}{5}$$