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

Question

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

Accepted Answer

\[-5\frac{1}{16}+1\frac{1}{8}=-\frac{81}{16}+\frac{18}{16}=-\frac{63}{16}.\]

\[-\frac{5}{6}-\frac{3}{4}=-\frac{10}{12}-\frac{9}{12}=-\frac{19}{12}.\]

\[-\frac{63}{16}\cdot\left(-\frac{19}{12}\right)=\frac{63\cdot19}{192}=\frac{399}{64}=6\frac{15}{64}.\]

Ответ: $6\frac{15}{64}$.

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