# How do you combine 3/(5x)+7/(5x)?

Jul 9, 2016

$\frac{2}{x}$

#### Explanation:

Since the 2 fractions have a $\textcolor{b l u e}{\text{common denominator}}$ of 5x we can combine them into a single fraction by $\textcolor{red}{\text{adding their numerators}}$

$\Rightarrow \frac{3}{5 x} + \frac{7}{5 x} = \frac{3 + 7}{5 x} = \frac{10}{5 x}$

We can simplify further by diving the 10 and 5 by 5 (cancelling)

$\Rightarrow \frac{10}{5 x} = {\cancel{10}}^{2} / \left({\cancel{5}}^{1} x\right) = \frac{2}{x}$

Thus $\frac{3}{5 x} + \frac{7}{5 x} = \frac{2}{x}$