е) $\left(\frac{5}{24}+\frac{5}{16}\right)\cdot\left(1\frac{2}{3}-\frac{3}{5}\right)\cdot1\frac{4}{5}$;

Question

$Фото задания: е) $\left(\frac{5}{24}+\frac{5}{16}\right)\cdot\left(1\frac{2}{3}-\frac{3}{5}\right)\cdot1\frac{4}{5}$;$ Фото задания

Accepted Answer

Преобразуем смешанные числа:

$1\frac{2}{3}=\frac{5}{3}$, $1\frac{4}{5}=\frac{9}{5}$.

\[\left(\frac{5}{24}+\frac{5}{16}\right)\cdot\left(\frac{5}{3}-\frac{3}{5}\right)\cdot\frac{9}{5}=\frac{25}{48}\cdot\frac{16}{15}\cdot\frac{9}{5}.\]

Сокращаем дроби:

\[\frac{25}{48}\cdot\frac{16}{15}\cdot\frac{9}{5}=1.\]

Ответ: 1.

е) \(\left(\frac{5}{24}+\frac{5}{16}\right)\cdot\left(1\frac{2}{3}-\frac{3}{5}\right)\cdot1\frac{4}{5}\);