Question

URGENT pls
a/b = 3/5 Atunci (a+b)/(3a-b) =?

Answer 1

$\frac{a}{b}=\frac{3}{5} \\ \\ a=\frac{3b}{5}$
Inlocuim pe a cu 3b/5
$\frac{a+b}{3a-b}=\frac{\frac{3b}{5}+b}{3\cdot\frac{3b}{5}-b} \\ \\ =\frac{\frac{3b}{5}+\frac{5b}{5}}{\frac{9b}{5}-\frac{5b}{5}} \\ \\ =\frac{\frac{8b}{5}}{\frac{4b}{5}} \\ \\ =\frac{8b}{4b}=\frac{8}{4}=2$