Ответ:

Преобразуем смешанные числа:

\((1\frac{1}{6}+3\frac{2}{3})\cdot6=(\frac{7}{6}+\frac{11}{3})\cdot6=(\frac{7}{6}+\frac{22}{6})\cdot6=\frac{29}{6}\cdot6=29\).

Ответ: 29.