Ответ:
\(3:3\frac{3}{4}+2\frac{2}{5}\cdot2\frac{1}{2}-3\frac{5}{6}=3:\frac{15}{4}+\frac{12}{5}\cdot\frac{5}{2}-\frac{23}{6}\).
\(=\frac{4}{5}+6-\frac{23}{6}=\frac{24+180-115}{30}=\frac{89}{30}=2\frac{29}{30}\).
Ответ: \(2\frac{29}{30}\).
\(3:3\frac{3}{4}+2\frac{2}{5}\cdot2\frac{1}{2}-3\frac{5}{6}=3:\frac{15}{4}+\frac{12}{5}\cdot\frac{5}{2}-\frac{23}{6}\).
\(=\frac{4}{5}+6-\frac{23}{6}=\frac{24+180-115}{30}=\frac{89}{30}=2\frac{29}{30}\).
Ответ: \(2\frac{29}{30}\).