Вычислите: $$\frac{25}{12} : 1\frac{7}{8} - \frac{3}{5} \times (4 - 2\frac{11}{18})$$.

Решение:

$$\frac{25}{12} : 1\frac{7}{8} - \frac{3}{5} \times (4 - 2\frac{11}{18}) = \frac{25}{12} : \frac{15}{8} - \frac{3}{5} \times (4 - \frac{47}{18}) = \frac{25}{12} \times \frac{8}{15} - \frac{3}{5} \times (\frac{72}{18} - \frac{47}{18}) = \frac{5}{3} \times \frac{2}{3} - \frac{3}{5} \times \frac{25}{18} = \frac{10}{9} - \frac{1}{1} \times \frac{5}{6} = \frac{20}{18} - \frac{15}{18} = \frac{5}{18}$$

Ответ: $$\frac{5}{18}$$