9. $(3\frac{1}{2}:4\frac{2}{3}+2\frac{1}{3}:3\frac{1}{2})*\frac{4}{5}$

Question

Вопрос: $Фото задания: 9. $(3\frac{1}{2}:4\frac{2}{3}+2\frac{1}{3}:3\frac{1}{2})*\frac{4}{5}$$ Фото задания

Accepted Answer

\[\left(3\frac{1}{2}:4\frac{2}{3}+2\frac{1}{3}:3\frac{1}{2}\right)\cdot\frac{4}{5}\]

\[=\left(\frac{7}{2}:\frac{14}{3}+\frac{7}{3}:\frac{7}{2}\right)\cdot\frac{4}{5}\]

\[=\left(\frac{7}{2}\cdot\frac{3}{14}+\frac{7}{3}\cdot\frac{2}{7}\right)\cdot\frac{4}{5}=\left(\frac{3}{4}+\frac{2}{3}\right)\cdot\frac{4}{5}\]

\[=\frac{17}{12}\cdot\frac{4}{5}=\frac{17}{15}\]

Ответ: $\frac{17}{15}$.

9. \((3\frac{1}{2}:4\frac{2}{3}+2\frac{1}{3}:3\frac{1}{2})*\frac{4}{5}\)