2. Найдите значение выражения: \(\left(1\frac{2}{7}\cdot\frac{7}{18}-\frac{2}{5}:1\frac{1}{5}\right)+2\frac{2}{5}:2\frac{2}{15}\).

Преобразуем смешанные числа:

\(1\frac{2}{7}=\frac{9}{7}\), \(1\frac{1}{5}=\frac{6}{5}\), \(2\frac{2}{5}=\frac{12}{5}\), \(2\frac{2}{15}=\frac{32}{15}\).

\(\frac{9}{7}\cdot\frac{7}{18}=\frac{1}{2}\).

\(\frac{2}{5}:\frac{6}{5}=\frac{2}{5}\cdot\frac{5}{6}=\frac{1}{3}\).

Первая скобка: \(\frac{1}{2}-\frac{1}{3}=\frac{1}{6}\).

\(\frac{12}{5}:\frac{32}{15}=\frac{12}{5}\cdot\frac{15}{32}=\frac{9}{8}\).

\(\frac{1}{6}+\frac{9}{8}=\frac{4}{24}+\frac{27}{24}=\frac{31}{24}=1\frac{7}{24}\).

Ответ: \(1\frac{7}{24}\).