1. Вычислить: \(1\frac{1}{3}\cdot\left(-\frac{3}{4}\right)-\left(-2\frac{2}{7}\right)\cdot1\frac{2}{5}\).

Преобразуем смешанные числа: \(1\frac{1}{3}=\frac{4}{3}\), \(-2\frac{2}{7}=-\frac{16}{7}\), \(1\frac{2}{5}=\frac{7}{5}\).

\[\frac{4}{3}\cdot\left(-\frac{3}{4}\right)-\left(-\frac{16}{7}\right)\cdot\frac{7}{5}=-1-\left(-\frac{16}{5}\right)=-1+\frac{16}{5}=\frac{11}{5}=2\frac{1}{5}.\]

Ответ: \(2\frac{1}{5}\).