Ответ:

\(\frac{31}{32}:3\frac{1}{5}=\frac{31}{32}:\frac{16}{5}=\frac{155}{512}\).

В скобках:

\(8\frac{5}{9}\cdot\frac{6}{35}=\frac{77}{9}\cdot\frac{6}{35}=\frac{22}{15}\).

\(\frac{22}{15}+3\frac{8}{15}=\frac{22}{15}+\frac{53}{15}=5\).

\(5\cdot\frac{7}{50}=\frac{7}{10}\).

\(\frac{155}{512}+\frac{7}{10}=\frac{2567}{2560}=1\frac{7}{2560}\).

Ответ: \(1\frac{7}{2560}\).