\(\left(8\frac{1}{3}+5\frac{1}{2}\right)\cdot\left(3\frac{1}{5}-2\frac{1}{10}\right)\)

\(8\frac{1}{3}+5\frac{1}{2}=\frac{83}{6}\), а \(3\frac{1}{5}-2\frac{1}{10}=\frac{11}{10}\).

\(\frac{83}{6}\cdot\frac{11}{10}=\frac{913}{60}=15\frac{13}{60}\).

Ответ: \(15\frac{13}{60}\).