Вычислите: $\frac{17}{12}:\frac{2}{5}-\frac{2}{5}\cdot\left(2-1\frac{1}{12}\right)$.

Question

$Фото задания: Вычислите: $\frac{17}{12}:\frac{2}{5}-\frac{2}{5}\cdot\left(2-1\frac{1}{12}\right)$.$ Фото задания

Accepted Answer

$\frac{17}{12}:\frac{2}{5}=\frac{17}{12}\cdot\frac{5}{2}=\frac{85}{24}$.

$2-1\frac{1}{12}=2-\frac{13}{12}=\frac{11}{12}$.

$\frac{2}{5}\cdot\frac{11}{12}=\frac{11}{30}$.

$\frac{85}{24}-\frac{11}{30}=\frac{425}{120}-\frac{44}{120}=\frac{381}{120}=\frac{127}{40}=3\frac{7}{40}$.

Ответ: $3\frac{7}{40}$.

Вычислите: \(\frac{17}{12}:\frac{2}{5}-\frac{2}{5}\cdot\left(2-1\frac{1}{12}\right)\).