1. Выполни действие: a) 4 5/7 : 7/9; б) 8 9/27: 5 10/9; в) 4 4/9: 2 2/3; г) 32: 8/9; д) 12/13 : 6/18.

а) $$4 \frac{5}{7} : \frac{7}{9} = \frac{33}{7} : \frac{7}{9} = \frac{33}{7} \cdot \frac{9}{7} = \frac{33 \cdot 9}{7 \cdot 7} = \frac{297}{49} = 6 \frac{3}{49}$$;

б) $$8 \frac{9}{27} : 5 \frac{10}{9} = 8 \frac{1}{3} : 5 \frac{10}{9} = \frac{25}{3} : \frac{5 \cdot 9 + 10}{9} = \frac{25}{3} : \frac{55}{9} = \frac{25}{3} \cdot \frac{9}{55} = \frac{25 \cdot 9}{3 \cdot 55} = \frac{5 \cdot 3}{11} = \frac{15}{11} = 1 \frac{4}{11}$$;

в) $$4 \frac{4}{9} : 2 \frac{2}{3} = \frac{4 \cdot 9 + 4}{9} : \frac{2 \cdot 3 + 2}{3} = \frac{40}{9} : \frac{8}{3} = \frac{40}{9} \cdot \frac{3}{8} = \frac{40 \cdot 3}{9 \cdot 8} = \frac{5 \cdot 1}{3 \cdot 1} = \frac{5}{3} = 1 \frac{2}{3}$$;

г) $$32 : \frac{8}{9} = 32 \cdot \frac{9}{8} = \frac{32 \cdot 9}{8} = \frac{4 \cdot 9}{1} = 36$$;

д) $$\frac{12}{13} : \frac{6}{18} = \frac{12}{13} : \frac{1}{3} = \frac{12}{13} \cdot \frac{3}{1} = \frac{12 \cdot 3}{13} = \frac{36}{13} = 2 \frac{10}{13}$$.

Ответ: а) $$6 \frac{3}{49}$$; б) $$1 \frac{4}{11}$$; в) $$1 \frac{2}{3}$$; г) 36; д) $$2 \frac{10}{13}$$