Вопрос:

Задание 124. Найдите произведение: 1) \(\frac{2}{3}\cdot\frac{5}{8}\); 2) \(\frac{1}{2}\cdot\frac{6}{7}\); 3) \(\frac{3}{5}\cdot\frac{5}{8}\); 4) \(\frac{1}{9}\cdot\frac{9}{10}\); 5) \(\frac{6}{11}\cdot\frac{5}{18}\); 6) \(\frac{2}{5}\cdot\frac{1}{3}\); 7) \(\frac{1}{6}\cdot\frac{2}{7}\); 8) \(\frac{2}{3}\cdot\frac{3}{13}\); 9) \(\frac{1}{8}\cdot\frac{10}{11}\); 10) \(\frac{3}{5}\cdot\frac{15}{19}\); 11) \(\frac{2}{9}\cdot\frac{5}{9}\); 12) \(\frac{5}{11}\cdot\frac{5}{6}\); 13) \(\frac{4}{7}\cdot\frac{8}{9}\); 14) \(\frac{3}{20}\cdot\frac{10}{11}\); 15) \(\frac{3}{10}\cdot\frac{5}{9}\); 16) \(\frac{5}{8}\cdot\frac{2}{15}\); 17) \(\frac{2}{7}\cdot\frac{21}{22}\); 18) \(\frac{8}{15}\cdot\frac{25}{32}\); 19) \(\frac{13}{35}\cdot\frac{14}{11}\); 20) \(\frac{2}{9}\cdot\frac{3}{8}\); 21) \(\frac{5}{6}\cdot\frac{12}{35}\); 22) \(\frac{7}{8}\cdot\frac{8}{40}\); 23) \(\frac{27}{32}\cdot\frac{4}{5}\); 24) \(\frac{45}{49}\cdot\frac{7}{10}\); 25) \(\frac{12}{15}\cdot\frac{35}{36}\); 26) \(\frac{18}{77}\cdot\frac{14}{27}\); 27) \(\frac{22}{25}\cdot\frac{5}{33}\); 28) \(\frac{48}{49}\cdot\frac{35}{16}\); 29) \(\frac{7}{60}\cdot\frac{10}{21}\); 30) \(\frac{12}{100}\cdot\frac{25}{4}\); 31) \(4\frac{1}{6}\cdot\frac{4}{?}\) (пример на изображении неразборчив); 32) \(7\cdot\frac{2}{7}\); 33) \(9\cdot\frac{5}{18}\); 34) \(8\cdot\frac{3}{16}\); 35) \(12\cdot\frac{7}{18}\); 36) \(4\cdot\frac{3}{14}\); 37) \(21\cdot\frac{5}{9}\); 38) \(44\cdot\frac{4}{33}\); 39) \(15\cdot\frac{3}{10}\); 40) \(43\cdot\frac{10}{43}\); 41) \(22\cdot\frac{3}{26}\); 42) \(39\cdot\frac{4}{13}\); 43) \(42\cdot\frac{6}{7}\); 44) \(16\cdot\frac{1}{16}\); 45) \(36\cdot\frac{4}{9}\).

Ответ:

При умножении дробей перемножаем числители и знаменатели, затем сокращаем результат.

  1. \(\frac{2}{3}\cdot\frac{5}{8}=\frac{10}{24}=\frac{5}{12}\)
  2. \(\frac{1}{2}\cdot\frac{6}{7}=\frac{6}{14}=\frac{3}{7}\)
  3. \(\frac{3}{5}\cdot\frac{5}{8}=\frac{15}{40}=\frac{3}{8}\)
  4. \(\frac{1}{9}\cdot\frac{9}{10}=\frac{1}{10}\)
  5. \(\frac{6}{11}\cdot\frac{5}{18}=\frac{5}{33}\)
  6. \(\frac{2}{5}\cdot\frac{1}{3}=\frac{2}{15}\)
  7. \(\frac{1}{6}\cdot\frac{2}{7}=\frac{1}{21}\)
  8. \(\frac{2}{3}\cdot\frac{3}{13}=\frac{2}{13}\)
  9. \(\frac{1}{8}\cdot\frac{10}{11}=\frac{5}{44}\)
  10. \(\frac{3}{5}\cdot\frac{15}{19}=\frac{9}{19}\)
  11. \(\frac{2}{9}\cdot\frac{5}{9}=\frac{10}{81}\)
  12. \(\frac{5}{11}\cdot\frac{5}{6}=\frac{25}{66}\)
  13. \(\frac{4}{7}\cdot\frac{8}{9}=\frac{32}{63}\)
  14. \(\frac{3}{20}\cdot\frac{10}{11}=\frac{3}{22}\)
  15. \(\frac{3}{10}\cdot\frac{5}{9}=\frac{1}{6}\)
  16. \(\frac{5}{8}\cdot\frac{2}{15}=\frac{1}{12}\)
  17. \(\frac{2}{7}\cdot\frac{21}{22}=\frac{3}{11}\)
  18. \(\frac{8}{15}\cdot\frac{25}{32}=\frac{5}{12}\)
  19. \(\frac{13}{35}\cdot\frac{14}{11}=\frac{26}{55}\)
  20. \(\frac{2}{9}\cdot\frac{3}{8}=\frac{1}{12}\)
  21. \(\frac{5}{6}\cdot\frac{12}{35}=\frac{2}{7}\)
  22. \(\frac{7}{8}\cdot\frac{8}{40}=\frac{7}{40}\)
  23. \(\frac{27}{32}\cdot\frac{4}{5}=\frac{27}{40}\)
  24. \(\frac{45}{49}\cdot\frac{7}{10}=\frac{9}{14}\)
  25. \(\frac{12}{15}\cdot\frac{35}{36}=\frac{7}{9}\)
  26. \(\frac{18}{77}\cdot\frac{14}{27}=\frac{4}{33}\)
  27. \(\frac{22}{25}\cdot\frac{5}{33}=\frac{2}{15}\)
  28. \(\frac{48}{49}\cdot\frac{35}{16}=\frac{15}{7}=2\frac{1}{7}\)
  29. \(\frac{7}{60}\cdot\frac{10}{21}=\frac{1}{18}\)
  30. \(\frac{12}{100}\cdot\frac{25}{4}=\frac{3}{4}\)
  31. Данные дроби на изображении неразборчивы.
  32. \(7\cdot\frac{2}{7}=2\)
  33. \(9\cdot\frac{5}{18}=\frac{5}{2}=2\frac{1}{2}\)
  34. \(8\cdot\frac{3}{16}=\frac{3}{2}=1\frac{1}{2}\)
  35. \(12\cdot\frac{7}{18}=\frac{14}{3}=4\frac{2}{3}\)
  36. \(4\cdot\frac{3}{14}=\frac{6}{7}\)
  37. \(21\cdot\frac{5}{9}=\frac{35}{3}=11\frac{2}{3}\)
  38. \(44\cdot\frac{4}{33}=\frac{16}{3}=5\frac{1}{3}\)
  39. \(15\cdot\frac{3}{10}=\frac{9}{2}=4\frac{1}{2}\)
  40. \(43\cdot\frac{10}{43}=10\)
  41. \(22\cdot\frac{3}{26}=\frac{33}{13}=2\frac{7}{13}\)
  42. \(39\cdot\frac{4}{13}=12\)
  43. \(42\cdot\frac{6}{7}=36\)
  44. \(16\cdot\frac{1}{16}=1\)
  45. \(36\cdot\frac{4}{9}=16\)