Question

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

Answer 1

`x = 4/3`

Explanation:

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

`1/2 + 1/4 = 2/4 + 1/4 = 3/4`

`rArr 3/4 = 1/x`

and cross-multiplying gives 3x = 4

now divide both sides by 3

`rArr x = 4/3`