1. Сократите дробь на наибольший общий делитель её числителя и знаменателя: 1) 42/24, 35/77, 48/60, 72/96; 2) 10/100, 400/1000, 600/800, 800/1000; 3) 72/90, 60/105, 45/150, 84/120; 4) 56/70, 36/90, 66/110, 96/160.

Делим числитель и знаменатель каждой дроби на их наибольший общий делитель.

1) \(\frac{42}{24}=\frac{42:6}{24:6}=\frac{7}{4}\); \(\frac{35}{77}=\frac{35:7}{77:7}=\frac{5}{11}\); \(\frac{48}{60}=\frac{48:12}{60:12}=\frac{4}{5}\); \(\frac{72}{96}=\frac{72:24}{96:24}=\frac{3}{4}\).

2) \(\frac{10}{100}=\frac{10:10}{100:10}=\frac{1}{10}\); \(\frac{400}{1000}=\frac{400:200}{1000:200}=\frac{2}{5}\); \(\frac{600}{800}=\frac{600:200}{800:200}=\frac{3}{4}\); \(\frac{800}{1000}=\frac{800:200}{1000:200}=\frac{4}{5}\).

3) \(\frac{72}{90}=\frac{72:18}{90:18}=\frac{4}{5}\); \(\frac{60}{105}=\frac{60:15}{105:15}=\frac{4}{7}\); \(\frac{45}{150}=\frac{45:15}{150:15}=\frac{3}{10}\); \(\frac{84}{120}=\frac{84:12}{120:12}=\frac{7}{10}\).

4) \(\frac{56}{70}=\frac{56:14}{70:14}=\frac{4}{5}\); \(\frac{36}{90}=\frac{36:18}{90:18}=\frac{2}{5}\); \(\frac{66}{110}=\frac{66:22}{110:22}=\frac{3}{5}\); \(\frac{96}{160}=\frac{96:32}{160:32}=\frac{3}{5}\).

Ответ: 1) \(\frac{7}{4};\frac{5}{11};\frac{4}{5};\frac{3}{4}\). 2) \(\frac{1}{10};\frac{2}{5};\frac{3}{4};\frac{4}{5}\). 3) \(\frac{4}{5};\frac{4}{7};\frac{3}{10};\frac{7}{10}\). 4) \(\frac{4}{5};\frac{2}{5};\frac{3}{5};\frac{3}{5}\).