4) \(\left(-1\frac{3}{18}-2\frac{5}{12}\right):5\frac{5}{12}\)

Преобразуем смешанные числа:

\(-1\frac{3}{18}=-\frac{7}{6}\), \(2\frac{5}{12}=\frac{29}{12}\), \(5\frac{5}{12}=\frac{65}{12}\).

\[\left(-\frac{7}{6}-\frac{29}{12}\right):\frac{65}{12}=\left(-\frac{14}{12}-\frac{29}{12}\right)\cdot\frac{12}{65}=-\frac{43}{12}\cdot\frac{12}{65}=-\frac{43}{65}.\]

Ответ: \(-\frac{43}{65}\).