Вычислите \((-5\frac1{16}+1\frac18)\cdot(-\frac56-\frac34)\).

\[-5\frac1{16}+1\frac18=-\frac{81}{16}+\frac{18}{16}=-\frac{63}{16};\quad-\frac56-\frac34=-\frac{10}{12}-\frac9{12}=-\frac{19}{12}.\]

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

Ответ: \(6\frac{15}{64}\).