36. Вычислите: $\frac{29}{4}:5\frac{4}{5}-\frac{3}{4}\cdot\left(3-1\frac{19}{30}\right)$.

Question

$Фото задания: 36. Вычислите: $\frac{29}{4}:5\frac{4}{5}-\frac{3}{4}\cdot\left(3-1\frac{19}{30}\right)$.$ Фото задания

Accepted Answer

\[\frac{29}{4}:5\frac{4}{5}=\frac{29}{4}:\frac{29}{5}=\frac{5}{4}.\]

\[3-1\frac{19}{30}=3-\frac{49}{30}=\frac{41}{30}.\]

\[\frac{3}{4}\cdot\frac{41}{30}=\frac{41}{40}.\]

\[\frac{5}{4}-\frac{41}{40}=\frac{50-41}{40}=\frac{9}{40}.\]

Ответ: $\frac{9}{40}$.

36. Вычислите: \(\frac{29}{4}:5\frac{4}{5}-\frac{3}{4}\cdot\left(3-1\frac{19}{30}\right)\).