Вопрос:

6) \(\dfrac{-2\frac{7}{24}:1\frac56-1,6\cdot(-0,3)}{-9,5:(5\frac7{10}-4\frac{12}{35})}\)

Ответ:

Числитель:

\(-2\frac7{24}:1\frac56=-\frac{55}{24}:\frac{11}{6}=-\frac54\),

\(-\frac54-1,6\cdot(-0,3)=-\frac54+0,48=-0,77=-\frac{77}{100}\).

Знаменатель:

\(5\frac7{10}-4\frac{12}{35}=\frac{57}{10}-\frac{152}{35}=\frac{19}{14}\),

\(-9,5:\frac{19}{14}=-\frac{19}{2}:\frac{19}{14}=-7\).

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

Ответ: \(\frac{11}{100}\).