243. Сократите дроби: а) 22/66, 125/75, 75/100, 24/360, 125/1000, 100/250, 198/126; б) 42/720, 75/300, 40/64, 3/243, 18/300, 45/900, 120/180.

Сократим каждую дробь, разделив числитель и знаменатель на их общий делитель.

а)

1. \(\frac{22}{66}=\frac{22:22}{66:22}=\frac{1}{3}\);
2. \(\frac{125}{75}=\frac{125:25}{75:25}=\frac{5}{3}\);
3. \(\frac{75}{100}=\frac{75:25}{100:25}=\frac{3}{4}\);
4. \(\frac{24}{360}=\frac{24:24}{360:24}=\frac{1}{15}\);
5. \(\frac{125}{1000}=\frac{125:125}{1000:125}=\frac{1}{8}\);
6. \(\frac{100}{250}=\frac{100:50}{250:50}=\frac{2}{5}\);
7. \(\frac{198}{126}=\frac{198:18}{126:18}=\frac{11}{7}\).

б)

1. \(\frac{42}{720}=\frac{42:6}{720:6}=\frac{7}{120}\);
2. \(\frac{75}{300}=\frac{75:75}{300:75}=\frac{1}{4}\);
3. \(\frac{40}{64}=\frac{40:8}{64:8}=\frac{5}{8}\);
4. \(\frac{3}{243}=\frac{3:3}{243:3}=\frac{1}{81}\);
5. \(\frac{18}{300}=\frac{18:6}{300:6}=\frac{3}{50}\);
6. \(\frac{45}{900}=\frac{45:45}{900:45}=\frac{1}{20}\);
7. \(\frac{120}{180}=\frac{120:60}{180:60}=\frac{2}{3}\).

Ответ: а) \(\frac{1}{3}, \frac{5}{3}, \frac{3}{4}, \frac{1}{15}, \frac{1}{8}, \frac{2}{5}, \frac{11}{7}\); б) \(\frac{7}{120}, \frac{1}{4}, \frac{5}{8}, \frac{1}{81}, \frac{3}{50}, \frac{1}{20}, \frac{2}{3}\).