Ответ:

\(5\frac{1}{16}-1\frac{1}{8}=\frac{81}{16}-\frac{18}{16}=\frac{63}{16}\).

\(\frac{5}{6}+\frac{5}{14}=\frac{25}{21}\).

\(\frac{63}{16}\cdot\frac{25}{21}=\frac{525}{112}=4\frac{77}{112}\).

Ответ: \(4\frac{77}{112}\).