5.357 Сократите дроби: a) \(\frac{6}{10}\), \(\frac{6}{18}\), \(\frac{9}{15}\), \(\frac{9}{24}\); б) \(\frac{2}{12}\), \(\frac{3}{15}\), \(\frac{3}{6}\)

a) Сократим дроби:

1. \(\frac{6}{10} = \frac{2 \cdot 3}{2 \cdot 5} = \frac{3}{5}\)
2. \(\frac{6}{18} = \frac{6 \cdot 1}{6 \cdot 3} = \frac{1}{3}\)
3. \(\frac{9}{15} = \frac{3 \cdot 3}{3 \cdot 5} = \frac{3}{5}\)
4. \(\frac{9}{24} = \frac{3 \cdot 3}{3 \cdot 8} = \frac{3}{8}\)

б) Сократим дроби:

1. \(\frac{2}{12} = \frac{2 \cdot 1}{2 \cdot 6} = \frac{1}{6}\)
2. \(\frac{3}{15} = \frac{3 \cdot 1}{3 \cdot 5} = \frac{1}{5}\)
3. \(\frac{3}{6} = \frac{3 \cdot 1}{3 \cdot 2} = \frac{1}{2}\)

Ответ: a) \(\frac{3}{5}\), \(\frac{1}{3}\), \(\frac{3}{5}\), \(\frac{3}{8}\); б) \(\frac{1}{6}\), \(\frac{1}{5}\), \(\frac{1}{2}\)