Вычислите: \(-\frac{7}{9} : \left(-\frac{14}{15}\right) - 1\frac{2}{3}\).

\[ -\frac{7}{9} : \left(-\frac{14}{15}\right) - 1\frac{2}{3} = -\frac{7}{9}\cdot\left(-\frac{15}{14}\right)-\frac{5}{3} = \frac{5}{6}-\frac{5}{3}=\frac{5}{6}-\frac{10}{6}=-\frac{5}{6}. \]

Ответ: \(-\frac{5}{6}\).