Question

Daca a/b=3/5 si a/c=2/3, aflati b/c.
VA ROG REPEDEEEEEEEEEE EEEEEEEEEEE!!!!!!!!!!!!!¡¡¡¡¡¡¡¡¡¡¡¡¡¡

Answer 1

$Daca \frac{a}{b}=\frac{3}{5}, stiind\ ca\ produsul\ extremilor\ este\ egal\ cu\ produsul\ miezilor,\\\\5*a=3*b\ =>\ b=\frac{5*a}{3}\\\\\frac{a}{c}=\frac{2}{3}\ =>\ 2*c=3*a\ =>\ c=\frac{3*a}{2}\\\\\frac{b}{c}=\frac{\frac{5a}{3}}{\frac{3a}{2}}=\frac{5a}{3}:\frac{3a}{2}=\\\\\frac{5a}{3}*\frac{2}{3a}=\frac{10a}{9a}=\frac{10}{9}$

Answer 2

a / b = 3 / 5 ⇒  5 a = 3 b ⇒   a = 3 b / 5

a / c = 2 / 3  ⇒  3 a = 2 c ⇒   a = 2 c / 3

3 b / 5 = 2 c / 3 ⇒   3 × 3 b = 5 × 2 c ⇒  9 b = 10 c ⇒  b / c = 10 / 9