# How do you solve rational equations 1/2 + 1/4 = 1/x?

Jan 5, 2016

$x = \frac{4}{3}$

#### Explanation:

first thing to do is simplify the left hand side of the equation by adding the fractions.

$\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$

$\Rightarrow \frac{3}{4} = \frac{1}{x}$

and cross-multiplying gives 3x = 4

now divide both sides by 3

$\Rightarrow x = \frac{4}{3}$