4) $\left(\frac{7}{8}+\frac{5}{6}\right):\left(\frac{11}{12}-\frac{2}{3}\right)\cdot\frac{4}{9}$

Question

Вопрос: $Фото задания: 4) $\left(\frac{7}{8}+\frac{5}{6}\right):\left(\frac{11}{12}-\frac{2}{3}\right)\cdot\frac{4}{9}$$ Фото задания

Accepted Answer

\[\frac{7}{8}+\frac{5}{6}=\frac{21}{24}+\frac{20}{24}=\frac{41}{24}.\]

\[\frac{11}{12}-\frac{2}{3}=\frac{11}{12}-\frac{8}{12}=\frac{1}{4}.\]

\[\frac{41}{24}:\frac{1}{4}\cdot\frac{4}{9}=\frac{41}{24}\cdot4\cdot\frac{4}{9}=\frac{82}{27}.\]

Ответ: $\frac{82}{27}$

4) \(\left(\frac{7}{8}+\frac{5}{6}\right):\left(\frac{11}{12}-\frac{2}{3}\right)\cdot\frac{4}{9}\)