2. Найдите частное: 1) $$6 : \frac{2}{7}$$; 3) $$\frac{7}{25} : 28$$; 5) $$2\frac{2}{3} : 2\frac{2}{7}$$; 2) $$1\frac{1}{19} : \frac{8}{19}$$; 4) $$16\frac{1}{3} : 5\frac{5}{6}$$; 6) $$4\frac{4}{9} : \frac{5}{27}$$.

Решение: 1) $$6 : \frac{2}{7} = 6 \cdot \frac{7}{2} = \frac{6 \cdot 7}{2} = \frac{42}{2} = 21$$ 2) $$1\frac{1}{19} : \frac{8}{19} = \frac{20}{19} : \frac{8}{19} = \frac{20}{19} \cdot \frac{19}{8} = \frac{20}{8} = \frac{5}{2} = 2\frac{1}{2}$$ 3) $$\frac{7}{25} : 28 = \frac{7}{25} \cdot \frac{1}{28} = \frac{7}{25 \cdot 28} = \frac{7}{25 \cdot 4 \cdot 7} = \frac{1}{25 \cdot 4} = \frac{1}{100}$$ 4) $$16\frac{1}{3} : 5\frac{5}{6} = \frac{49}{3} : \frac{35}{6} = \frac{49}{3} \cdot \frac{6}{35} = \frac{49 \cdot 6}{3 \cdot 35} = \frac{7 \cdot 7 \cdot 2 \cdot 3}{3 \cdot 5 \cdot 7} = \frac{7 \cdot 2}{5} = \frac{14}{5} = 2\frac{4}{5}$$ 5) $$2\frac{2}{3} : 2\frac{2}{7} = \frac{8}{3} : \frac{16}{7} = \frac{8}{3} \cdot \frac{7}{16} = \frac{8 \cdot 7}{3 \cdot 16} = \frac{8 \cdot 7}{3 \cdot 2 \cdot 8} = \frac{7}{3 \cdot 2} = \frac{7}{6} = 1\frac{1}{6}$$ 6) $$4\frac{4}{9} : \frac{5}{27} = \frac{40}{9} : \frac{5}{27} = \frac{40}{9} \cdot \frac{27}{5} = \frac{40 \cdot 27}{9 \cdot 5} = \frac{8 \cdot 5 \cdot 3 \cdot 9}{9 \cdot 5} = 8 \cdot 3 = 24$$ Ответы: 1) $$21$$; 2) $$2\frac{1}{2}$$; 3) $$\frac{1}{100}$$; 4) $$2\frac{4}{5}$$; 5) $$1\frac{1}{6}$$; 6) $$24$$