6. $(6\frac{4}{9}+3\frac{5}{12}):(5\frac{1}{2}-2\frac{7}{8})\cdot2\frac{3}{7}$

Question

$Фото задания: 6. $(6\frac{4}{9}+3\frac{5}{12}):(5\frac{1}{2}-2\frac{7}{8})\cdot2\frac{3}{7}$$ Фото задания

Accepted Answer

$6\frac{4}{9}+3\frac{5}{12}=\frac{58}{9}+\frac{41}{12}=\frac{355}{36}$.

$5\frac{1}{2}-2\frac{7}{8}=\frac{11}{2}-\frac{23}{8}=\frac{21}{8}$.

$\frac{355}{36}:\frac{21}{8}\cdot\frac{17}{7}=\frac{355}{36}\cdot\frac{8}{21}\cdot\frac{17}{7}=\frac{12070}{1323}$.

Ответ: $\frac{12070}{1323}$.

6. \((6\frac{4}{9}+3\frac{5}{12}):(5\frac{1}{2}-2\frac{7}{8})\cdot2\frac{3}{7}\)