# How do you evaluate 2/5 + 3/10?

Jun 28, 2016

Convert the fractions so they have a common denominator; then add the numerators to get $\frac{7}{10}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{2}{5} + \frac{3}{10}$

To add fractions we need to write them with the same denominator:
and since $\frac{2}{5} = \frac{4}{10}$

$\textcolor{w h i t e}{\text{XXX}} \frac{2}{5} + \frac{3}{10} = \frac{4}{10} + \frac{3}{10}$

When fractions have the same denominator we can add the numerators and write the sum over that common denominator:
$\textcolor{w h i t e}{\text{XXX}} \frac{4}{10} + \frac{3}{10} = \frac{4 + 3}{10} = \frac{7}{10}$