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

a)

1. $$ \frac{33}{99} = \frac{33:33}{99:33} = \frac{1}{3} $$
2. $$ \frac{150}{125} = \frac{150:25}{125:25} = \frac{6}{5} $$
3. $$ \frac{25}{100} = \frac{25:25}{100:25} = \frac{1}{4} $$
4. $$ \frac{14}{210} = \frac{14:14}{210:14} = \frac{1}{15} $$
5. $$ \frac{150}{1000} = \frac{150:50}{1000:50} = \frac{3}{20} $$
6. $$ \frac{1000}{2500} = \frac{1000:500}{2500:500} = \frac{2}{5} $$
7. $$ \frac{264}{148} = \frac{264:4}{148:4} = \frac{66}{37} $$

б)

1. $$ \frac{45}{630} = \frac{45:45}{630:45} = \frac{1}{14} $$
2. $$ \frac{30}{64} = \frac{30:2}{64:2} = \frac{15}{32} $$
3. $$ \frac{125}{500} = \frac{125:125}{500:125} = \frac{1}{4} $$
4. $$ \frac{7}{217} = \frac{7:7}{217:7} = \frac{1}{31} $$
5. $$ \frac{12}{600} = \frac{12:12}{600:12} = \frac{1}{50} $$
6. $$ \frac{75}{300} = \frac{75:75}{300:75} = \frac{1}{4} $$
7. $$ \frac{140}{210} = \frac{140:70}{210:70} = \frac{2}{3} $$

Ответ: См. решение.