10. Вычислите выражение: \(1\frac{1}{12}:\left(1\frac{13}{18}-2\frac{5}{9}\right)\).

\(1\frac{1}{12}=\frac{13}{12}\), \(1\frac{13}{18}=\frac{31}{18}\), \(2\frac{5}{9}=\frac{23}{9}\).

\(\frac{31}{18}-\frac{23}{9}=\frac{31}{18}-\frac{46}{18}=-\frac{15}{18}=-\frac{5}{6}\).

\(\frac{13}{12}:\left(-\frac{5}{6}\right)=\frac{13}{12}\cdot\left(-\frac{6}{5}\right)=-\frac{13}{10}=-1\frac{3}{10}\).

Ответ: \(-1\frac{3}{10}\).