# How do you simplify -2/7 + (-2/5)?

Mar 6, 2017

See the entire simplification process below:

#### Explanation:

First, we must put the fractions over a common denominator (35 in this case) by multiplying each fraction by the appropriate form of $1$:

$\left(\frac{5}{5} \times - \frac{2}{7}\right) + \left(\frac{7}{7} \times - \frac{2}{5}\right) \to$

$- \frac{10}{35} + \left(- \frac{14}{35}\right)$

We can now add the numerators over a common denominator:

$\frac{- 10 + \left(- 14\right)}{35} \to$

$\frac{- 10 - 14}{35} \to$

$- \frac{24}{35}$