Вопрос:

5. \((9\frac{1}{8}:2\frac{2}{3})+(4\frac{5}{8}-2\frac{7}{12})\cdot1\frac{3}{16}\)

Ответ:

\(9\frac{1}{8}:2\frac{2}{3}=\frac{73}{8}:\frac{8}{3}=\frac{219}{64}\).

\(4\frac{5}{8}-2\frac{7}{12}=\frac{37}{8}-\frac{31}{12}=\frac{49}{24}\).

\(\frac{49}{24}\cdot1\frac{3}{16}=\frac{49}{24}\cdot\frac{19}{16}=\frac{931}{384}\).

\(\frac{219}{64}+\frac{931}{384}=\frac{2245}{384}\).

Ответ: \(\frac{2245}{384}\).