# How do you simplify 1/5 + 1/10?

Apr 24, 2017

See the entire solution process below:

#### Explanation:

First, to add fractions we need to have each fraction over a common denominator. The Lowest Common Denominator for these two fractions is $10$. Therefore we need to multiply the first fraction by the appropriate form of $1$:

$\frac{1}{5} + \frac{1}{10} = \left(\frac{2}{2} \times \frac{1}{5}\right) + \frac{1}{10} = \frac{2 \times 1}{2 \times 5} + \frac{1}{10} = \frac{2}{10} + \frac{1}{10}$

We can now add the numerators over the common denominator:

$\frac{2}{10} + \frac{1}{10} = \frac{2 + 1}{10} = \frac{3}{10}$