7. $2\frac{3}{4}:(1\frac{1}{2}-\frac{2}{5})+(\frac{3}{4}+\frac{5}{6}):3\frac{1}{6}$

Question

Вопрос: $Фото задания: 7. $2\frac{3}{4}:(1\frac{1}{2}-\frac{2}{5})+(\frac{3}{4}+\frac{5}{6}):3\frac{1}{6}$$ Фото задания

Accepted Answer

\[2\frac{3}{4}:\left(1\frac{1}{2}-\frac{2}{5}\right)+\left(\frac{3}{4}+\frac{5}{6}\right):3\frac{1}{6}\]

\[=\frac{11}{4}:\frac{11}{10}+\frac{19}{12}:\frac{19}{6}=\frac{11}{4}\cdot\frac{10}{11}+\frac{19}{12}\cdot\frac{6}{19}\]

\[=\frac{5}{2}+\frac{1}{2}=3\]

Ответ: $3$.

7. \(2\frac{3}{4}:(1\frac{1}{2}-\frac{2}{5})+(\frac{3}{4}+\frac{5}{6}):3\frac{1}{6}\)