5) (7/16 − 31/40) : (−17/24 + 27/40) · 9/14

Вычислим значения в скобках:

\(\frac{7}{16}-\frac{31}{40}=\frac{35}{80}-\frac{62}{80}=-\frac{27}{80}\).

\(-\frac{17}{24}+\frac{27}{40}=-\frac{85}{120}+\frac{81}{120}=-\frac{1}{30}\).

Тогда:

\(\left(-\frac{27}{80}\right):\left(-\frac{1}{30}\right)\cdot\frac{9}{14}=\frac{81}{8}\cdot\frac{9}{14}=\frac{729}{112}\).

Ответ: \(\frac{729}{112}\)