6) \(\dfrac{-2\frac{7}{24}:1\frac{5}{6}-1,6\cdot(-0,3)}{-9,5:\left(5\frac{7}{10}-4\frac{12}{35}\right)}\)

Преобразуем числа: \(-2\frac{7}{24}=-\frac{55}{24}\), \(1\frac56=\frac{11}{6}\), \(1,6=\frac85\), \(-0,3=-\frac3{10}\), \(-9,5=-\frac{19}{2}\), \(5\frac7{10}=\frac{57}{10}\), \(4\frac{12}{35}=\frac{152}{35}\).

Числитель:

\[-\frac{55}{24}:\frac{11}{6}-\frac85\cdot\left(-\frac3{10}\right)=-\frac54+\frac{12}{50}=-\frac54+\frac6{25}=-\frac{101}{100}.\]

Скобки в знаменателе:

\[\frac{57}{10}-\frac{152}{35}=\frac{399-304}{70}=\frac{19}{14}.\]

Знаменатель:

\[-\frac{19}{2}:\frac{19}{14}=-7.\]

Всё выражение:

\[-\frac{101}{100}:(-7)=\frac{101}{700}.\]

Ответ: \(\frac{101}{700}\).