Вопрос:

Вычислите: \(\left(-5\frac{1}{16}+\frac{1}{8}\right)\times\left(-\frac{5}{6}-\frac{3}{4}\right)\).

Ответ:

\(-5\frac{1}{16}+\frac{1}{8}=-\frac{81}{16}+\frac{2}{16}=-\frac{79}{16}\).

\(-\frac{5}{6}-\frac{3}{4}=-\frac{10}{12}-\frac{9}{12}=-\frac{19}{12}\).

\(\left(-\frac{79}{16}\right)\left(-\frac{19}{12}\right)=\frac{1501}{192}\).

Ответ: \(\frac{1501}{192}\).