\[5\frac{11}{14}=\frac{81}{14},\qquad 5\frac56=\frac{35}{6}.\]
\[\frac{81}{14}\cdot\frac{35}{6}=\frac{27\cdot5}{2}=\frac{135}{2}=67\frac12.\]
Ответ: \(67\frac12\).