11) Вычислите: $\left(5\frac{1}{16}-1\frac{1}{8}\right)\left(\frac{5}{6}+\frac{3}{14}\right)$.

Question

$Фото задания: 11) Вычислите: $\left(5\frac{1}{16}-1\frac{1}{8}\right)\left(\frac{5}{6}+\frac{3}{14}\right)$.$ Фото задания

Accepted Answer

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

\[\frac{5}{6}+\frac{3}{14}=\frac{35}{42}+\frac{9}{42}=\frac{44}{42}=\frac{22}{21}.\]

\[\frac{63}{16}\cdot\frac{22}{21}=\frac{3\cdot22}{16}=\frac{66}{16}=\frac{33}{8}=4\frac{1}{8}.\]

Ответ: $4\frac{1}{8}$.

11) Вычислите: \(\left(5\frac{1}{16}-1\frac{1}{8}\right)\left(\frac{5}{6}+\frac{3}{14}\right)\).