Вопрос:

37. Вычислите: \(\frac{14}{15}-\frac{9}{5}:\left(7-4\frac{3}{7}\right)+\frac{3}{5}\).

Ответ:

\[7-4\frac{3}{7}=\frac{49}{7}-\frac{31}{7}=\frac{18}{7}.\]

\[\frac{9}{5}:\frac{18}{7}=\frac{9}{5}\cdot\frac{7}{18}=\frac{7}{10}.\]

\[\frac{14}{15}-\frac{7}{10}+\frac{3}{5}=\frac{28-21+18}{30}=\frac{25}{30}=\frac{5}{6}.\]

Ответ: \(\frac{5}{6}\).