5) Вычислите: $\left(1\frac{2}{7}:2\frac{4}{9}-\frac{2}{5}\cdot\frac{5}{6}\right)+2\frac{2}{5}:2\frac{2}{15}$.

Question

Вопрос: $Фото задания: 5) Вычислите: $\left(1\frac{2}{7}:2\frac{4}{9}-\frac{2}{5}\cdot\frac{5}{6}\right)+2\frac{2}{5}:2\frac{2}{15}$.$ Фото задания

Accepted Answer

\[\left(\frac{9}{7}:\frac{22}{9}-\frac{2}{5}\cdot\frac{5}{6}\right)+\frac{12}{5}:\frac{32}{15}\]

\[=\left(\frac{9}{7}\cdot\frac{9}{22}-\frac{1}{3}\right)+\frac{12}{5}\cdot\frac{15}{32}\]

\[=\left(\frac{81}{154}-\frac{1}{3}\right)+\frac{9}{8}=\frac{89}{462}+\frac{9}{8}=\frac{1165}{924}.\]

Ответ: $\frac{1165}{924}=1\frac{241}{924}$.

5) Вычислите: \(\left(1\frac{2}{7}:2\frac{4}{9}-\frac{2}{5}\cdot\frac{5}{6}\right)+2\frac{2}{5}:2\frac{2}{15}\).