Ответ:

\(5\frac1{16}-1\frac18=\frac{81}{16}-\frac{18}{16}=\frac{63}{16}\).

\(\frac56+\frac3{14}=\frac{35}{42}+\frac9{42}=\frac{44}{42}=\frac{22}{21}\).

\(\frac{63}{16}\cdot\frac{22}{21}=\frac{33}{8}=4\frac18\).

Ответ: \(4\frac18\).