Question

pls help ans is a+b but idk how to get it

Answer 1

Answer:

Given expression is

$\frac{ {a}^{ - 1} + {b}^{ - 1} }{ {ab}^{ - 1} }$

$= \frac{ \frac{1}{a} + \frac{1}{b} }{ \frac{1}{ab} }$

Taking lcm in numerator,

$= \frac{ \frac{a + b}{ab} }{ \frac{1}{ab} }$

$= \frac{(a + b)ab}{ab}$

$= a + b$