7. $(10\frac{1}{6}-6\frac{11}{14})\cdot(2\frac{2}{9}+1\frac{5}{7}):3\frac{2}{3}$

Question

$Фото задания: 7. $(10\frac{1}{6}-6\frac{11}{14})\cdot(2\frac{2}{9}+1\frac{5}{7}):3\frac{2}{3}$$ Фото задания

Accepted Answer

$10\frac{1}{6}-6\frac{11}{14}=\frac{61}{6}-\frac{95}{14}=\frac{71}{21}$.

$2\frac{2}{9}+1\frac{5}{7}=\frac{20}{9}+\frac{12}{7}=\frac{248}{63}$.

$\frac{71}{21}\cdot\frac{248}{63}:\frac{11}{3}=\frac{71}{21}\cdot\frac{248}{63}\cdot\frac{3}{11}=\frac{17608}{4851}$.

Ответ: $\frac{17608}{4851}$.

7. \((10\frac{1}{6}-6\frac{11}{14})\cdot(2\frac{2}{9}+1\frac{5}{7}):3\frac{2}{3}\)