12) $\left(3\frac{1}{6}-5\frac{1}{6}:4\frac{2}{15}\right):\frac{3}{92}$

Question

Вопрос: $Фото задания: 12) $\left(3\frac{1}{6}-5\frac{1}{6}:4\frac{2}{15}\right):\frac{3}{92}$$ Фото задания

Accepted Answer

Преобразуем смешанные числа: $3\frac{1}{6}=\frac{19}{6}$, $5\frac{1}{6}=\frac{31}{6}$, $4\frac{2}{15}=\frac{62}{15}$.

$\frac{31}{6}:\frac{62}{15}=\frac{31}{6}\cdot\frac{15}{62}=\frac{5}{4}$.

В скобках: $\frac{19}{6}-\frac{5}{4}=\frac{38}{12}-\frac{15}{12}=\frac{23}{12}$.

$\frac{23}{12}:\frac{3}{92}=\frac{23}{12}\cdot\frac{92}{3}=\frac{529}{9}$.

Ответ: $\frac{529}{9}$.

12) \(\left(3\frac{1}{6}-5\frac{1}{6}:4\frac{2}{15}\right):\frac{3}{92}\)