1. Вычислить: \((-3\frac{1}{3}+2\frac{5}{6})\cdot(-8\frac{5}{9}+7\frac{2}{9})\).

\[\left(-3\frac{1}{3}+2\frac{5}{6}\right)\cdot\left(-8\frac{5}{9}+7\frac{2}{9}\right)=\left(-\frac{10}{3}+\frac{17}{6}\right)\cdot\left(-\frac{77}{9}+\frac{65}{9}\right)\]

\[=\left(-\frac{20}{6}+\frac{17}{6}\right)\cdot\left(-\frac{12}{9}\right)=\left(-\frac{1}{2}\right)\cdot\left(-\frac{4}{3}\right)=\frac{2}{3}.\]

Ответ: \(\frac{2}{3}\).