Сократите дробь: a) 33/99, 150/125, 25/100, 14/210, 150/1000, 1000/2500, 264/148; б) 45/630, 30/64, 125/500, 7/217, 12/600, 75/300, 140/210.

Решение:

а)

• \( \frac{33}{99} = \frac{33 \div 33}{99 \div 33} = \frac{1}{3} \)
• \( \frac{150}{125} = \frac{150 \div 25}{125 \div 25} = \frac{6}{5} \)
• \( \frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4} \)
• \( \frac{14}{210} = \frac{14 \div 14}{210 \div 14} = \frac{1}{15} \)
• \( \frac{150}{1000} = \frac{150 \div 50}{1000 \div 50} = \frac{3}{20} \)
• \( \frac{1000}{2500} = \frac{1000 \div 500}{2500 \div 500} = \frac{2}{5} \)
• \( \frac{264}{148} = \frac{264 \div 4}{148 \div 4} = \frac{66}{37} \)

б)

• \( \frac{45}{630} = \frac{45 \div 45}{630 \div 45} = \frac{1}{14} \)
• \( \frac{30}{64} = \frac{30 \div 2}{64 \div 2} = \frac{15}{32} \)
• \( \frac{125}{500} = \frac{125 \div 125}{500 \div 125} = \frac{1}{4} \)
• \( \frac{7}{217} = \frac{7 \div 7}{217 \div 7} = \frac{1}{31} \)
• \( \frac{12}{600} = \frac{12 \div 12}{600 \div 12} = \frac{1}{50} \)
• \( \frac{75}{300} = \frac{75 \div 75}{300 \div 75} = \frac{1}{4} \)
• \( \frac{140}{210} = \frac{140 \div 70}{210 \div 70} = \frac{2}{3} \)

Ответ: а) 1/3, 6/5, 1/4, 1/15, 3/20, 2/5, 66/37; б) 1/14, 15/32, 1/4, 1/31, 1/50, 1/4, 2/3.