2. \(5\frac{1}{5}\cdot\left(3\frac{1}{10}+4\frac{4}{15}+1\frac{29}{30}\right)=\)

Преобразуем смешанные числа: \(5\frac{1}{5}=\frac{26}{5}\), \(3\frac{1}{10}=\frac{31}{10}\), \(4\frac{4}{15}=\frac{64}{15}\), \(1\frac{29}{30}=\frac{59}{30}\).

\(\frac{31}{10}+\frac{64}{15}+\frac{59}{30}=\frac{93+128+59}{30}=\frac{280}{30}=\frac{28}{3}\).

\(\frac{26}{5}\cdot\frac{28}{3}=\frac{728}{15}=48\frac{8}{15}\).

Ответ: \(48\frac{8}{15}\).