2. Вычислите: a) $$4\frac{1}{6} \cdot 3\frac{3}{5}$$; б) $$1\frac{2}{13} : 1\frac{4}{11}$$; в) $$2\frac{2}{3} \cdot 1\frac{1}{8} : 6\frac{2}{3}$$.

Решение: a) $$4\frac{1}{6} \cdot 3\frac{3}{5} = \frac{25}{6} \cdot \frac{18}{5} = \frac{25 \cdot 18}{6 \cdot 5} = \frac{5 \cdot 5 \cdot 6 \cdot 3}{6 \cdot 5} = 5 \cdot 3 = 15$$. б) $$1\frac{2}{13} : 1\frac{4}{11} = \frac{15}{13} : \frac{15}{11} = \frac{15}{13} \cdot \frac{11}{15} = \frac{15 \cdot 11}{13 \cdot 15} = \frac{11}{13}$$. в) $$2\frac{2}{3} \cdot 1\frac{1}{8} : 6\frac{2}{3} = \frac{8}{3} \cdot \frac{9}{8} : \frac{20}{3} = \frac{8}{3} \cdot \frac{9}{8} \cdot \frac{3}{20} = \frac{8 \cdot 9 \cdot 3}{3 \cdot 8 \cdot 20} = \frac{9 \cdot 3}{3 \cdot 20} = \frac{9}{20}$$. Ответ: a) $$15$$; б) $$\frac{11}{13}$$; в) $$\frac{9}{20}$$.