Question

Решите уравнение 2/3(1 1/2х+3/5)-4/5(5/12-1/2)=1 3/5.

Answer 1

$\frac{2}{3} (1 \frac{1}{2} x + \frac{3}{5} ) - \frac{4}{5} ( \frac{5}{12} - \frac{1}{2} ) = 1 \frac{3}{5} \\ \\ \\ \frac{2}{3} ( \frac{3}{2} x + \frac{3}{5} ) - \frac{4}{5} ( \frac{5}{12} - \frac{1}{2} ) = \frac{8}{5} \\ \\ \\ x + \frac{2}{5} - \frac{1}{3} + \frac{2}{5} = \frac{8}{5} \\ \\ \\ x + \frac{2 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} + \frac{2 \times 3}{5 \times 3} = \frac{8}{5} \\ \\ \\ x + \frac{6}{15} - \frac{5}{15} + \frac{6}{15} = \frac{8}{5}$
$x + \frac{1}{15} + \frac{6}{15} = \frac{8}{5} \\ \\ \\ x + \frac{7}{15} = \frac{8 \times 3}{5 \times 3} \\ \\ \\ x + \frac{7}{15} = \frac{24}{15} \\ \\ \\ x = \frac{24}{15} - \frac{7}{15} \\ \\ \\ x = \frac{17}{15} \\ \\ \\otvet : x = \frac{17}{15}$
Вот помогла.