Question

Stiind ca a supra b este egal cu 2 supra 3 calculati 3a minus b supra a plus b

Answer 1

Se poate face in mai multe feluri, dar eu voi folosi proportii derivate:
[tex]\frac{a}{b}=\frac{2}{3}\\ \frac{a}{a+b}=\frac{2}{2+3}=\frac{2}{5}\Rightarrow\frac{3a}{a+b}=\frac{6}{5}\\ \frac{b}{a+b}=\frac{3}{2+3}=\frac{3}{5}\\ \frac{3a-b}{a+b}=\frac{3a}{a+b}-\frac{b}{a+b}=\frac{6}{5}-\frac{3}{5}=\frac{3}{5}[/tex]