5.357 Сократите дроби:

Решение:

1. \( \frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \)
2. \( \frac{9}{18} = \frac{9 \div 9}{18 \div 9} = \frac{1}{2} \)
3. \( \frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5} \)
4. \( \frac{9}{24} = \frac{9 \div 3}{24 \div 3} = \frac{3}{8} \)
5. \( \frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6} \)
6. \( \frac{3}{30} = \frac{3 \div 3}{30 \div 3} = \frac{1}{10} \)
7. \( \frac{12}{42} = \frac{12 \div 6}{42 \div 6} = \frac{2}{7} \)
8. \( \frac{99}{60} = \frac{99 \div 3}{60 \div 3} = \frac{33}{20} \)
9. \( \frac{9}{100} \) (несократимая)
10. \( \frac{22}{1000} = \frac{22 \div 2}{1000 \div 2} = \frac{11}{500} \)

Ответ: а) \( \frac{3}{5}, \frac{1}{2}, \frac{2}{5}, \frac{3}{8} \); б) \( \frac{1}{6}, \frac{1}{10}, \frac{2}{7} \); в) \( \frac{33}{20}, \frac{9}{100}, \frac{11}{500} \).