4. $\left(\frac{9}{16}+1\frac{2}{3}\cdot\frac{9}{56}\right):1\frac{1}{7}$

Question

Вопрос: $Фото задания: 4. $\left(\frac{9}{16}+1\frac{2}{3}\cdot\frac{9}{56}\right):1\frac{1}{7}$$ Фото задания

Accepted Answer

$1\frac{2}{3}\cdot\frac{9}{56}=\frac{5}{3}\cdot\frac{9}{56}=\frac{15}{56}$.

$\frac{9}{16}+\frac{15}{56}=\frac{63}{112}+\frac{30}{112}=\frac{93}{112}$.

$1\frac{1}{7}=\frac{8}{7}$, поэтому $\frac{93}{112}:\frac{8}{7}=\frac{93}{112}\cdot\frac{7}{8}=\frac{651}{896}$.

Ответ: $\frac{651}{896}$.

4. \(\left(\frac{9}{16}+1\frac{2}{3}\cdot\frac{9}{56}\right):1\frac{1}{7}\)