Задание 3. Выполните деление:

а) \(\frac{3}{4} : \frac{5}{7} = \frac{3}{4} \cdot \frac{7}{5} = \frac{3 \cdot 7}{4 \cdot 5} = \frac{21}{20} = 1\frac{1}{20}\) б) \(\frac{9}{16} : \frac{3}{64} = \frac{9}{16} \cdot \frac{64}{3} = \frac{9 \cdot 64}{16 \cdot 3} = \frac{576}{48} = 12\) в) \(\frac{25}{72} : \frac{45}{63} = \frac{25}{72} \cdot \frac{63}{45} = \frac{25 \cdot 63}{72 \cdot 45} = \frac{1575}{3240} = \frac{35}{72}\) г) \(8 : \frac{4}{5} = \frac{8}{1} \cdot \frac{5}{4} = \frac{8 \cdot 5}{1 \cdot 4} = \frac{40}{4} = 10\) д) \(1 : \frac{7}{16} = \frac{1}{1} \cdot \frac{16}{7} = \frac{1 \cdot 16}{1 \cdot 7} = \frac{16}{7} = 2\frac{2}{7}\) е) \(\frac{8}{15} : 24 = \frac{8}{15} \cdot \frac{1}{24} = \frac{8 \cdot 1}{15 \cdot 24} = \frac{8}{360} = \frac{1}{45}\) ж) \(12\frac{1}{2} : 3\frac{3}{4} = \frac{25}{2} : \frac{15}{4} = \frac{25}{2} \cdot \frac{4}{15} = \frac{25 \cdot 4}{2 \cdot 15} = \frac{100}{30} = \frac{10}{3} = 3\frac{1}{3}\) з) \(1\frac{3}{5} : 5\frac{1}{3} = \frac{8}{5} : \frac{16}{3} = \frac{8}{5} \cdot \frac{3}{16} = \frac{8 \cdot 3}{5 \cdot 16} = \frac{24}{80} = \frac{3}{10}\) и) \(2\frac{5}{8} : \frac{7}{32} = \frac{21}{8} : \frac{7}{32} = \frac{21}{8} \cdot \frac{32}{7} = \frac{21 \cdot 32}{8 \cdot 7} = \frac{672}{56} = 12\)