Вопрос:

10. \((4\frac{5}{11}+5\frac{7}{13}):(9\frac{1}{2}-3\frac{5}{9})\cdot7\frac{1}{4}\)

Ответ:

\(4\frac{5}{11}+5\frac{7}{13}=\frac{49}{11}+\frac{72}{13}=\frac{1429}{143}\).

\(9\frac{1}{2}-3\frac{5}{9}=\frac{19}{2}-\frac{32}{9}=\frac{107}{18}\).

\(\frac{1429}{143}:\frac{107}{18}\cdot7\frac{1}{4}=\frac{1429}{143}\cdot\frac{18}{107}\cdot\frac{29}{4}=\frac{372969}{30602}\).

Ответ: \(\frac{372969}{30602}\).