Question

if $\text{abc}\text{=}\text{6,}$ $\text{a}\text{+}\text{b}\text{+}\text{c}\text{=}\text{6,}$ then $\frac{\text{1}}{\text{ac}}\text{+}\frac{\text{1}}{\text{ab}}\text{+}\frac{\text{1}}{\text{bc}}\text{=}\text{?}$

Answer 1

We have,

$abc=6$

$a+b+c=6$

SInce,

$\Rightarrow \frac{1}{ac}+\frac{1}{ab}+\frac{1}{bc}$

$\Rightarrow \frac{1}{abc}(\frac{abc}{ac}+\frac{abc}{ab}+\frac{abc}{bc})$

$\Rightarrow \frac{1}{abc}(a+b+c)$

$\Rightarrow \frac{6}{6}=1$

Hence, this is the answer.