5. Выполните деление:
а) \(\frac{5}{9} : \frac{3}{5} = \frac{5}{9} \cdot \frac{5}{3} = \frac{25}{27}\)
б) \(\frac{3}{8} : \frac{3}{5} = \frac{3}{8} \cdot \frac{5}{3} = \frac{15}{24} = \frac{5}{8}\)
в) \(7 \frac{6}{7} : 9 \frac{3}{7} = \frac{55}{7} : \frac{66}{7} = \frac{55}{7} \cdot \frac{7}{66} = \frac{55}{66} = \frac{5}{6}\)
г) \(\frac{24}{25} : 12 = \frac{24}{25} \cdot \frac{1}{12} = \frac{24}{25 \cdot 12} = \frac{2}{25}\)
д) \(3 \frac{5}{9} : 2 \frac{2}{3} = \frac{32}{9} : \frac{8}{3} = \frac{32}{9} \cdot \frac{3}{8} = \frac{32 \cdot 3}{9 \cdot 8} = \frac{4 \cdot 1}{3 \cdot 1} = \frac{4}{3} = 1 \frac{1}{3}\)
е) \(24 : \frac{8}{9} = 24 \cdot \frac{9}{8} = \frac{24 \cdot 9}{8} = 3 \cdot 9 = 27\)
ж) \(-3 \frac{1}{9} : 2 \frac{1}{3} = -\frac{28}{9} : \frac{7}{3} = -\frac{28}{9} \cdot \frac{3}{7} = -\frac{28 \cdot 3}{9 \cdot 7} = -\frac{4 \cdot 1}{3 \cdot 1} = -\frac{4}{3} = -1 \frac{1}{3}\)
з) \(-\frac{24}{25} : (-12) = \frac{24}{25} : 12 = \frac{24}{25} \cdot \frac{1}{12} = \frac{24}{25 \cdot 12} = \frac{2}{25}\)