# How do you combine (x+3)/x+(x+5)/(2x)?

Apr 7, 2017

Make a common denominator.
Combine the numerators.

#### Explanation:

Given: $\frac{x + 3}{x} + \frac{x + 5}{2 x}$

Multiply the first term by 1 in the form of $\frac{2}{2}$:

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

$\frac{2 x + 6}{2 x} + \frac{x + 5}{2 x} =$

Combine the numerators:

$\frac{3 x + 11}{2 x}$