16. \(2\frac{1}{3}\times3\frac{3}{4}+(3\frac{1}{2}-1\frac{5}{6})\div\frac{2}{3}\)

\[2\frac{1}{3}\times3\frac{3}{4}=\frac{7}{3}\times\frac{15}{4}=\frac{35}{4}\]

\[3\frac{1}{2}-1\frac{5}{6}=\frac{7}{2}-\frac{11}{6}=\frac{21-11}{6}=\frac{5}{3}\]

\[\frac{5}{3}\div\frac{2}{3}=\frac{5}{3}\times\frac{3}{2}=\frac{5}{2}\]

\[\frac{35}{4}+\frac{5}{2}=\frac{35}{4}+\frac{10}{4}=\frac{45}{4}=11\frac{1}{4}\]

Ответ: \(11\frac{1}{4}\).