Вопрос:

Сократите дроби: 2/8, 8/40, 10/12, 7/28, 6/12, 9/18, 2/4, 7/35, 12/16, 8/32, 5/30, 2/32, 8/44, 6/84, 3/45.

Ответ:

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

  1. \(\frac{2}{8}=\frac{2:2}{8:2}=\frac{1}{4}\);
  2. \(\frac{8}{40}=\frac{8:8}{40:8}=\frac{1}{5}\);
  3. \(\frac{10}{12}=\frac{10:2}{12:2}=\frac{5}{6}\);
  4. \(\frac{7}{28}=\frac{7:7}{28:7}=\frac{1}{4}\);
  5. \(\frac{6}{12}=\frac{6:6}{12:6}=\frac{1}{2}\);
  6. \(\frac{9}{18}=\frac{9:9}{18:9}=\frac{1}{2}\);
  7. \(\frac{2}{4}=\frac{2:2}{4:2}=\frac{1}{2}\);
  8. \(\frac{7}{35}=\frac{7:7}{35:7}=\frac{1}{5}\);
  9. \(\frac{12}{16}=\frac{12:4}{16:4}=\frac{3}{4}\);
  10. \(\frac{8}{32}=\frac{8:8}{32:8}=\frac{1}{4}\);
  11. \(\frac{5}{30}=\frac{5:5}{30:5}=\frac{1}{6}\);
  12. \(\frac{2}{32}=\frac{2:2}{32:2}=\frac{1}{16}\);
  13. \(\frac{8}{44}=\frac{8:4}{44:4}=\frac{2}{11}\);
  14. \(\frac{6}{84}=\frac{6:6}{84:6}=\frac{1}{14}\);
  15. \(\frac{3}{45}=\frac{3:3}{45:3}=\frac{1}{15}\).

Ответ: \(\frac14,\frac15,\frac56,\frac14,\frac12,\frac12,\frac12,\frac15,\frac34,\frac14,\frac16,\frac1{16},\frac2{11},\frac1{14},\frac1{15}\).