Question

If $\frac{a}{b}$ = $\frac{5}{7}$ then find the ratio $\frac{5a-b}{b}$.

Answer 1

Given $\frac{a}{b}=\frac{5}{7}$

$\Rightarrow \frac{5a}{b}=\frac{5\times 5}{7}$
$\Rightarrow \frac{5a-b}{b}=\frac{25-7}{7}$ (Using Dividendo)

$\Rightarrow \frac{5a-b}{b}=\frac{18}{7}$
Hence,
$\frac{5a-b}{b}=\frac{18}{7}$