Ответ:

\((1\frac{1}{6}+2\frac{1}{3})\cdot6=(\frac{7}{6}+\frac{7}{3})\cdot6=(\frac{7}{6}+\frac{14}{6})\cdot6=\frac{21}{6}\cdot6=21\).

Ответ: 21.