Вычислите: \(\frac{9}{10}\cdot\left(\frac{11}{12}-\frac{2}{9}\right)\).

\[\frac{11}{12}-\frac{2}{9}=\frac{33}{36}-\frac{8}{36}=\frac{25}{36}.\]

\[\frac{9}{10}\cdot\frac{25}{36}=\frac{25}{40}=\frac{5}{8}.\]

Ответ: \(\frac{5}{8}\).