5.357 Сократите дроби: a) \(\frac{6}{10}\), \(\frac{6}{18}\), \(\frac{6}{15}\), \(\frac{9}{24}\); б) \(\frac{2}{12}\), \(\frac{3}{15}\), \(\frac{30}{6}\), \(\frac{7}{42}\); в) \(\frac{12}{60}\), \(\frac{99}{22}\), \(\frac{5}{100}\), \(\frac{20}{1000}\)

a) Сократим дроби:

1. \(\frac{6}{10} = \frac{2\cdot3}{2\cdot5} = \frac{3}{5}\)
2. \(\frac{6}{18} = \frac{6\cdot1}{6\cdot3} = \frac{1}{3}\)
3. \(\frac{6}{15} = \frac{3\cdot2}{3\cdot5} = \frac{2}{5}\)
4. \(\frac{9}{24} = \frac{3\cdot3}{3\cdot8} = \frac{3}{8}\)

б) Сократим дроби:

1. \(\frac{2}{12} = \frac{2\cdot1}{2\cdot6} = \frac{1}{6}\)
2. \(\frac{3}{15} = \frac{3\cdot1}{3\cdot5} = \frac{1}{5}\)
3. \(\frac{30}{6} = \frac{6\cdot5}{6\cdot1} = \frac{5}{1} = 5\)
4. \(\frac{7}{42} = \frac{7\cdot1}{7\cdot6} = \frac{1}{6}\)

в) Сократим дроби:

1. \(\frac{12}{60} = \frac{12\cdot1}{12\cdot5} = \frac{1}{5}\)
2. \(\frac{99}{22} = \frac{11\cdot9}{11\cdot2} = \frac{9}{2} = 4\frac{1}{2}\)
3. \(\frac{5}{100} = \frac{5\cdot1}{5\cdot20} = \frac{1}{20}\)
4. \(\frac{20}{1000} = \frac{20\cdot1}{20\cdot50} = \frac{1}{50}\)

Ответ: а) \(\frac{3}{5}\), \(\frac{1}{3}\), \(\frac{2}{5}\), \(\frac{3}{8}\); б) \(\frac{1}{6}\), \(\frac{1}{5}\), 5, \(\frac{1}{6}\); в) \(\frac{1}{5}\), \(4\frac{1}{2}\), \(\frac{1}{20}\), \(\frac{1}{50}\)