1. Выполни действия: a) \(\frac{5}{7} : \frac{3}{8}\) б) \(\frac{5}{9} : \frac{10}{27}\) в) \(4\frac{4}{9} : 2\frac{2}{3}\) г) \(32 : \frac{8}{9}\) д) \(\frac{12}{13} : 6\)

1. Выполни действия:

1. \(\frac{5}{7} : \frac{3}{8} = \frac{5}{7} \times \frac{8}{3} = \frac{5 \times 8}{7 \times 3} = \frac{40}{21}\)
2. \(\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \times \frac{27}{10} = \frac{5 \times 27}{9 \times 10} = \frac{1 \times 3}{1 \times 2} = \frac{3}{2} = 1\frac{1}{2}\)
3. \(4\frac{4}{9} : 2\frac{2}{3} = \frac{40}{9} : \frac{8}{3} = \frac{40}{9} \times \frac{3}{8} = \frac{40 \times 3}{9 \times 8} = \frac{5 \times 1}{3 \times 1} = \frac{5}{3} = 1\frac{2}{3}\)
4. \(32 : \frac{8}{9} = 32 \times \frac{9}{8} = \frac{32 \times 9}{8} = 4 \times 9 = 36\)
5. \(\frac{12}{13} : 6 = \frac{12}{13} \times \frac{1}{6} = \frac{12 \times 1}{13 \times 6} = \frac{2 \times 1}{13 \times 1} = \frac{2}{13}\)