23. Сократи дробь.

Решение:

Для сокращения дробей нужно найти наибольший общий делитель (НОД) числителя и знаменателя и разделить на него оба числа.

1. Колонка А

• \( \frac{2}{8} = \frac{2:2}{8:2} = \frac{1}{4} \)


• \( \frac{8}{40} = \frac{8:8}{40:8} = \frac{1}{5} \)


• \( \frac{10}{12} = \frac{10:2}{12:2} = \frac{5}{6} \)


• \( \frac{7}{28} = \frac{7:7}{28:7} = \frac{1}{4} \)


• \( \frac{6}{12} = \frac{6:6}{12:6} = \frac{1}{2} \)


• \( \frac{15}{20} = \frac{15:5}{20:5} = \frac{3}{4} \)


• \( \frac{2}{12} = \frac{2:2}{12:2} = \frac{1}{6} \)


• \( \frac{9}{36} = \frac{9:9}{36:9} = \frac{1}{4} \)


• \( \frac{14}{28} = \frac{14:14}{28:14} = \frac{1}{2} \)


• \( \frac{6}{66} = \frac{6:6}{66:6} = \frac{1}{11} \)


• \( \frac{2}{6} = \frac{2:2}{6:2} = \frac{1}{3} \)


• \( \frac{7}{14} = \frac{7:7}{14:7} = \frac{1}{2} \)


• \( \frac{9}{12} = \frac{9:3}{12:3} = \frac{3}{4} \)


• \( \frac{8}{24} = \frac{8:8}{24:8} = \frac{1}{3} \)


• \( \frac{3}{24} = \frac{3:3}{24:3} = \frac{1}{8} \)

2. Колонка Б

• \( \frac{9}{18} = \frac{9:9}{18:9} = \frac{1}{2} \)


• \( \frac{2}{4} = \frac{2:2}{4:2} = \frac{1}{2} \)


• \( \frac{7}{35} = \frac{7:7}{35:7} = \frac{1}{5} \)


• \( \frac{12}{16} = \frac{12:4}{16:4} = \frac{3}{4} \)


• \( \frac{8}{32} = \frac{8:8}{32:8} = \frac{1}{4} \)


• \( \frac{12}{24} = \frac{12:12}{24:12} = \frac{1}{2} \)


• \( \frac{5}{15} = \frac{5:5}{15:5} = \frac{1}{3} \)


• \( \frac{18}{48} = \frac{18:6}{48:6} = \frac{3}{8} \)


• \( \frac{7}{28} = \frac{7:7}{28:7} = \frac{1}{4} \)


• \( \frac{2}{10} = \frac{2:2}{10:2} = \frac{1}{5} \)


• \( \frac{8}{16} = \frac{8:8}{16:8} = \frac{1}{2} \)


• \( \frac{7}{21} = \frac{7:7}{21:7} = \frac{1}{3} \)


• \( \frac{3}{9} = \frac{3:3}{9:3} = \frac{1}{3} \)


• \( \frac{6}{8} = \frac{6:2}{8:2} = \frac{3}{4} \)


• \( \frac{6}{30} = \frac{6:6}{30:6} = \frac{1}{5} \)

3. Колонка В

• \( \frac{5}{30} = \frac{5:5}{30:5} = \frac{1}{6} \)


• \( \frac{2}{32} = \frac{2:2}{32:2} = \frac{1}{16} \)


• \( \frac{8}{44} = \frac{8:4}{44:4} = \frac{2}{11} \)


• \( \frac{6}{84} = \frac{6:6}{84:6} = \frac{1}{14} \)


• \( \frac{3}{45} = \frac{3:3}{45:3} = \frac{1}{15} \)


• \( \frac{4}{36} = \frac{4:4}{36:4} = \frac{1}{9} \)


• \( \frac{5}{40} = \frac{5:5}{40:5} = \frac{1}{8} \)


• \( \frac{14}{18} = \frac{14:2}{18:2} = \frac{7}{9} \)


• \( \frac{6}{24} = \frac{6:6}{24:6} = \frac{1}{4} \)


• \( \frac{3}{54} = \frac{3:3}{54:3} = \frac{1}{18} \)


• \( \frac{4}{20} = \frac{4:4}{20:4} = \frac{1}{5} \)


• \( \frac{6}{42} = \frac{6:6}{42:6} = \frac{1}{7} \)


• \( \frac{6}{14} = \frac{6:2}{14:2} = \frac{3}{7} \)


• \( \frac{5}{80} = \frac{5:5}{80:5} = \frac{1}{16} \)


• \( \frac{3}{39} = \frac{3:3}{39:3} = \frac{1}{13} \)

4. Колонка Г

• \( \frac{3}{42} = \frac{3:3}{42:3} = \frac{1}{14} \)


• \( \frac{6}{54} = \frac{6:6}{54:6} = \frac{1}{9} \)


• \( \frac{2}{16} = \frac{2:2}{16:2} = \frac{1}{8} \)


• \( \frac{10}{45} = \frac{10:5}{45:5} = \frac{2}{9} \)


• \( \frac{4}{24} = \frac{4:4}{24:4} = \frac{1}{6} \)


• \( \frac{4}{60} = \frac{4:4}{60:4} = \frac{1}{15} \)


• \( \frac{14}{34} = \frac{14:2}{34:2} = \frac{7}{17} \)


• \( \frac{7}{42} = \frac{7:7}{42:7} = \frac{1}{6} \)


• \( \frac{3}{18} = \frac{3:3}{18:3} = \frac{1}{6} \)


• \( \frac{5}{35} = \frac{5:5}{35:5} = \frac{1}{7} \)


• \( \frac{6}{21} = \frac{6:3}{21:3} = \frac{2}{7} \)


• \( \frac{5}{25} = \frac{5:5}{25:5} = \frac{1}{5} \)


• \( \frac{6}{18} = \frac{6:6}{18:6} = \frac{1}{3} \)


• \( \frac{2}{38} = \frac{2:2}{38:2} = \frac{1}{19} \)


• \( \frac{4}{64} = \frac{4:4}{64:4} = \frac{1}{16} \)