1. Вычислите: a)$$\frac{1}{2} \cdot 1\frac{1}{3}$$; б) $$1\frac{1}{9} \cdot 3$$; в) $$1\frac{1}{9} \cdot 2\frac{2}{5}$$; г) $$1\frac{1}{8} : \frac{3}{4}$$; д) $$8 : 1\frac{7}{9}$$; е) $$3\frac{1}{2} : 1\frac{1}{6}$$.

a) $$\frac{1}{2} \cdot 1\frac{1}{3} = \frac{1}{2} \cdot \frac{4}{3} = \frac{1 \cdot 4}{2 \cdot 3} = \frac{4}{6} = \frac{2}{3}$$. б) $$1\frac{1}{9} \cdot 3 = \frac{10}{9} \cdot 3 = \frac{10 \cdot 3}{9} = \frac{30}{9} = \frac{10}{3} = 3\frac{1}{3}$$. в) $$1\frac{1}{9} \cdot 2\frac{2}{5} = \frac{10}{9} \cdot \frac{12}{5} = \frac{10 \cdot 12}{9 \cdot 5} = \frac{120}{45} = \frac{8}{3} = 2\frac{2}{3}$$. г) $$1\frac{1}{8} : \frac{3}{4} = \frac{9}{8} : \frac{3}{4} = \frac{9}{8} \cdot \frac{4}{3} = \frac{9 \cdot 4}{8 \cdot 3} = \frac{36}{24} = \frac{3}{2} = 1\frac{1}{2}$$. д) $$8 : 1\frac{7}{9} = 8 : \frac{16}{9} = 8 \cdot \frac{9}{16} = \frac{8 \cdot 9}{16} = \frac{72}{16} = \frac{9}{2} = 4\frac{1}{2}$$. е) $$3\frac{1}{2} : 1\frac{1}{6} = \frac{7}{2} : \frac{7}{6} = \frac{7}{2} \cdot \frac{6}{7} = \frac{7 \cdot 6}{2 \cdot 7} = \frac{42}{14} = 3$$. Ответы: a) $$\frac{2}{3}$$; б) $$3\frac{1}{3}$$; в) $$2\frac{2}{3}$$; г) $$1\frac{1}{2}$$; д) $$4\frac{1}{2}$$; е) $$3$$.