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

Преобразуем числа:

\(-2\frac{7}{24}=-\frac{55}{24}\), \(1\frac{5}{6}=\frac{11}{6}\), \(1,6=\frac{8}{5}\), \(-0,3=-\frac{3}{10}\), \(-9,5=-\frac{19}{2}\), \(5\frac{7}{10}=\frac{57}{10}\), \(4\frac{12}{35}=\frac{152}{35}\).

Числитель:

\(-\frac{55}{24}:\frac{11}{6}-\frac{8}{5}\cdot\left(-\frac{3}{10}\right)=-\frac{55}{24}\cdot\frac{6}{11}+\frac{12}{25}=-\frac{5}{4}+\frac{12}{25}=-\frac{77}{100}\).

Внутри знаменателя:

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

Знаменатель:

\(-\frac{19}{2}:\frac{19}{14}=-\frac{19}{2}\cdot\frac{14}{19}=-7\).

Итог:

\(-\frac{77}{100}:(-7)=\frac{77}{700}=\frac{11}{100}\).

Ответ: \(\frac{11}{100}=0,11\).