Question

Stiind ca $\frac{a}{b}$=$\frac{2}{3} }$ calculati $\frac{3a-b}{a+b}$
Stiind ca $\frac{5a-2b}{2a+b}$=$\frac{1}{4}$ calculati $\frac{a}{b}$

Answer 1

$\frac{a}{b} = \frac{2}{3}$⇔$3a=2b$
$\frac{2b-b}{ \frac{2b}{3}+b } = \frac{b}{ \frac{2b+3b}{3} } = \frac{b}{ \frac{5b}{3} } =b* \frac{3}{5b} = \frac{3}{5}$
4(5a-2b)=2a+b⇔20a-8b=2a+b⇔18a=9b⇔2a=b
$\\ \frac{a}{2a} = \frac{1}{2}$

Answer 2

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