1. \(2\frac{5}{6}\cdot\left(\frac{6}{17}\cdot1\frac{3}{8}\right)=\)

\(2\frac{5}{6}=\frac{17}{6}\), \(1\frac{3}{8}=\frac{11}{8}\).

\(\frac{17}{6}\cdot\left(\frac{6}{17}\cdot\frac{11}{8}\right)=\frac{11}{8}=1\frac{3}{8}\).

Ответ: \(1\frac{3}{8}\).