Выполните деление: 1) \(\frac{3}{4} : \frac{5}{7}\) 2) \(\frac{5}{18} : \frac{25}{27}\) 3) \(\frac{9}{16} : \frac{3}{64}\) 4) \(\frac{25}{72} : \frac{5}{18}\)

Решение:

1. \(\frac{3}{4} : \frac{5}{7} = \frac{3}{4} \cdot \frac{7}{5} = \frac{3 \cdot 7}{4 \cdot 5} = \frac{21}{20}\)
2. \(\frac{5}{18} : \frac{25}{27} = \frac{5}{18} \cdot \frac{27}{25} = \frac{5 \cdot 27}{18 \cdot 25} = \frac{1 \cdot 3}{2 \cdot 5} = \frac{3}{10}\)
3. \(\frac{9}{16} : \frac{3}{64} = \frac{9}{16} \cdot \frac{64}{3} = \frac{9 \cdot 64}{16 \cdot 3} = \frac{3 \cdot 4}{1 \cdot 1} = 12\)
4. \(\frac{25}{72} : \frac{5}{18} = \frac{25}{72} \cdot \frac{18}{5} = \frac{25 \cdot 18}{72 \cdot 5} = \frac{5 \cdot 1}{4 \cdot 1} = \frac{5}{4}\)

Ответ: 1) \(\frac{21}{20}\); 2) \(\frac{3}{10}\); 3) 12; 4) \(\frac{5}{4}\).