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

Сократим дроби:

1. \(\frac{6}{10} = \frac{3 \cdot 2}{5 \cdot 2} = \frac{3}{5}\); \(\frac{6}{18} = \frac{1 \cdot 6}{3 \cdot 6} = \frac{1}{3}\); \(\frac{9}{15} = \frac{3 \cdot 3}{5 \cdot 3} = \frac{3}{5}\); \(\frac{9}{24} = \frac{3 \cdot 3}{8 \cdot 3} = \frac{3}{8}\)
2. \(\frac{2}{12} = \frac{1 \cdot 2}{6 \cdot 2} = \frac{1}{6}\); \(\frac{3}{15} = \frac{1 \cdot 3}{5 \cdot 3} = \frac{1}{5}\); \(\frac{30}{6} = \frac{5 \cdot 6}{1 \cdot 6} = 5\); \(\frac{7}{42} = \frac{1 \cdot 7}{6 \cdot 7} = \frac{1}{6}\)
3. \(\frac{5}{60} = \frac{1 \cdot 5}{12 \cdot 5} = \frac{1}{12}\); \(\frac{12}{22} = \frac{6 \cdot 2}{11 \cdot 2} = \frac{6}{11}\); \(\frac{99}{100}\) - не сокращается; \(\frac{20}{1000} = \frac{2 \cdot 10}{100 \cdot 10} = \frac{2}{100} = \frac{1 \cdot 2}{50 \cdot 2} = \frac{1}{50}\)

Ответ: a) \(\frac{3}{5}, \frac{1}{3}, \frac{3}{5}, \frac{3}{8}\); б) \(\frac{1}{6}, \frac{1}{5}, 5, \frac{1}{6}\); в) \(\frac{1}{12}, \frac{6}{11}, \frac{99}{100}, \frac{1}{50}\)