Question

Решите уравнение: а) 8 4/5 : 2 1/2 = 4 2/5 : x; b) x : 0,6 = 1,3 : 3,9

Answer 1

a)
$8 \times \frac{2}{5} \times \frac{1}{2} = 4 \times \frac{2}{5} \times \frac{1}{x} \\ 4 \times \frac{2}{5} = \frac{8}{5x} \\ \frac{8}{5} = \frac{8}{5x} \\ 40x = 40 \\ x = 1$
b)
$x \times 3.9 = 1.3 \times 0.6 \\ 3.9x = 0.78 \\ x = 0.2$