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

Сокращение дроби - это деление числителя и знаменателя на их общий делитель.

1. а) $$ \frac{33}{99} = \frac{33 \div 33}{99 \div 33} = \frac{1}{3} $$

2. $$ \frac{150}{125} = \frac{150 \div 25}{125 \div 25} = \frac{6}{5} $$

3. $$ \frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $$

4. $$ \frac{14}{210} = \frac{14 \div 14}{210 \div 14} = \frac{1}{15} $$

5. $$ \frac{150}{1000} = \frac{150 \div 50}{1000 \div 50} = \frac{3}{20} $$

6. $$ \frac{1000}{2500} = \frac{1000 \div 500}{2500 \div 500} = \frac{2}{5} $$

7. $$ \frac{264}{148} = \frac{264 \div 4}{148 \div 4} = \frac{66}{37} $$

2. б) $$ \frac{45}{630} = \frac{45 \div 45}{630 \div 45} = \frac{1}{14} $$

3. $$ \frac{30}{64} = \frac{30 \div 2}{64 \div 2} = \frac{15}{32} $$

4. $$ \frac{125}{500} = \frac{125 \div 125}{500 \div 125} = \frac{1}{4} $$

5. $$ \frac{7}{217} = \frac{7 \div 7}{217 \div 7} = \frac{1}{31} $$

6. $$ \frac{12}{600} = \frac{12 \div 12}{600 \div 12} = \frac{1}{50} $$

7. $$ \frac{75}{300} = \frac{75 \div 75}{300 \div 75} = \frac{1}{4} $$

8. $$ \frac{140}{210} = \frac{140 \div 70}{210 \div 70} = \frac{2}{3} $$

Ответ: а) $$ \frac{1}{3}, \frac{6}{5}, \frac{1}{4}, \frac{1}{15}, \frac{3}{20}, \frac{2}{5}, \frac{66}{37} $$; б) $$ \frac{1}{14}, \frac{15}{32}, \frac{1}{4}, \frac{1}{31}, \frac{1}{50}, \frac{1}{4}, \frac{2}{3} $$.