Question 845057
Multiply both sides by (1/a + 1/b):


*[tex \large x = \frac{1}{\frac{1}{a} + \frac{1}{b}}]


The denominator can be simplified by using the GCD:


*[tex \large x = \frac{1}{\frac{b+a}{ab}} = \frac{ab}{a+b}]