2. Вычислите: a) 4\frac{1}{6}\cdot3\frac{3}{5}; 6) 1\frac{2}{13}:1\frac{4}{11}; B) 2\frac{2}{3}\cdot1\frac{1}{8}:6\frac{2}{3}.

Решение:

а) $$4\frac{1}{6}\cdot3\frac{3}{5} = \frac{25}{6}\cdot\frac{18}{5} = \frac{5}{1}\cdot\frac{3}{1} = 15$$

б) $$1\frac{2}{13}:1\frac{4}{11} = \frac{15}{13}:\frac{15}{11} = \frac{15}{13}\cdot\frac{11}{15} = \frac{1}{13}\cdot\frac{11}{1} = \frac{11}{13}$$

в) $$2\frac{2}{3}\cdot1\frac{1}{8}:6\frac{2}{3} = \frac{8}{3}\cdot\frac{9}{8}:\frac{20}{3} = \frac{1}{1}\cdot\frac{3}{1}:\frac{20}{3} = 3\cdot\frac{3}{20} = \frac{9}{20}$$

Ответ: а) $$15$$, б) $$\frac{11}{13}$$, в) $$\frac{9}{20}$$