3. Сократите дроби: а) 2/4, 6/10, 3/9, 6/15; б) 12/16, 20/24, 24/36, 32/40; в) 28/36, 28/56, 48/60, 40/84; г) 48/72, 60/96, 72/90, 60/100.

Чтобы сократить дробь, разделим её числитель и знаменатель на их наибольший общий делитель.

а) \(\frac{2}{4}=\frac{2:2}{4:2}=\frac{1}{2}\); \(\frac{6}{10}=\frac{6:2}{10:2}=\frac{3}{5}\); \(\frac{3}{9}=\frac{3:3}{9:3}=\frac{1}{3}\); \(\frac{6}{15}=\frac{6:3}{15:3}=\frac{2}{5}\).

б) \(\frac{12}{16}=\frac{12:4}{16:4}=\frac{3}{4}\); \(\frac{20}{24}=\frac{20:4}{24:4}=\frac{5}{6}\); \(\frac{24}{36}=\frac{24:12}{36:12}=\frac{2}{3}\); \(\frac{32}{40}=\frac{32:8}{40:8}=\frac{4}{5}\).

в) \(\frac{28}{36}=\frac{28:4}{36:4}=\frac{7}{9}\); \(\frac{28}{56}=\frac{28:28}{56:28}=\frac{1}{2}\); \(\frac{48}{60}=\frac{48:12}{60:12}=\frac{4}{5}\); \(\frac{40}{84}=\frac{40:4}{84:4}=\frac{10}{21}\).

г) \(\frac{48}{72}=\frac{48:24}{72:24}=\frac{2}{3}\); \(\frac{60}{96}=\frac{60:12}{96:12}=\frac{5}{8}\); \(\frac{72}{90}=\frac{72:18}{90:18}=\frac{4}{5}\); \(\frac{60}{100}=\frac{60:20}{100:20}=\frac{3}{5}\).

Ответ: а) \(\frac{1}{2}, \frac{3}{5}, \frac{1}{3}, \frac{2}{5}\); б) \(\frac{3}{4}, \frac{5}{6}, \frac{2}{3}, \frac{4}{5}\); в) \(\frac{7}{9}, \frac{1}{2}, \frac{4}{5}, \frac{10}{21}\); г) \(\frac{2}{3}, \frac{5}{8}, \frac{4}{5}, \frac{3}{5}\).