Вычислите: \(-2\frac{2}{9}+0,9\cdot\left(-2\frac{1}{3}\right)\).

\[ -2\frac{2}{9}+0.9\cdot\left(-2\frac{1}{3}\right)=-\frac{20}{9}+\frac{9}{10}\cdot\left(-\frac{7}{3}\right)=-\frac{20}{9}-\frac{21}{10}=-\frac{200+189}{90}=-\frac{389}{90}=-4\frac{29}{90}. \]

Ответ: \(-4\frac{29}{90}\).