Question

2/3 / × = 4/15 / 8/25 . Ajutoooooor va rog mult.

Answer 1

$\frac{ \frac{2}{3} }{x} = \frac{ \frac{4}{15} }{ \frac{8}{25} }$

$\frac{2}{3} \times \frac{1}{x} = \frac{4}{15} \times \frac{25}{8}$

$\frac{2}{3x} = \frac{1}{3} \times \frac{5}{2}$

$\frac{2}{3x} = \frac{5}{6}$

$3x \times 5 = 6 \times 2$

$15x = 12$

$x = \frac{12}{15}$

$x = \frac{4}{5}$

Answer 2

2/3 : x = 4/15 : 8/25 

2/3 ×  1/x = 4/15 × 25/8  → simplific pe 4 cu 8 = 1/2, dar si pe 25 cu 15 prin 5 = 5/3 

2/3x = 5/6 ⇒  15 x = 12 ⇒ x = 12/15 ⇒ x = 4/5