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

a) Сократим дроби:

• $$ \frac{6}{10} = \frac{3 \cdot 2}{5 \cdot 2} = \frac{3}{5} $$
• $$ \frac{6}{18} = \frac{1 \cdot 6}{3 \cdot 6} = \frac{1}{3} $$
• $$ \frac{9}{15} = \frac{3 \cdot 3}{5 \cdot 3} = \frac{3}{5} $$
• $$ \frac{9}{24} = \frac{3 \cdot 3}{8 \cdot 3} = \frac{3}{8} $$

б) Сократим дроби:

• $$ \frac{2}{12} = \frac{1 \cdot 2}{6 \cdot 2} = \frac{1}{6} $$
• $$ \frac{3}{15} = \frac{1 \cdot 3}{5 \cdot 3} = \frac{1}{5} $$
• $$ \frac{30}{6} = \frac{5 \cdot 6}{1 \cdot 6} = \frac{5}{1} = 5 $$
• $$ \frac{7}{42} = \frac{1 \cdot 7}{6 \cdot 7} = \frac{1}{6} $$

в) Сократим дроби:

• $$ \frac{12}{60} = \frac{1 \cdot 12}{5 \cdot 12} = \frac{1}{5} $$
• $$ \frac{99}{22} = \frac{9 \cdot 11}{2 \cdot 11} = \frac{9}{2} $$
• $$ \frac{5}{100} = \frac{1 \cdot 5}{20 \cdot 5} = \frac{1}{20} $$
• $$ \frac{20}{1000} = \frac{2 \cdot 10}{100 \cdot 10} = \frac{2}{100} = \frac{1 \cdot 2}{50 \cdot 2} = \frac{1}{50} $$