Контрольные задания
Вопрос:Фото задания: Обведи верные равенстваФото задания

Ответ:

Решение:

Проверим каждое равенство:

  1. \( \frac{7}{13} = \frac{21}{39} \) → \( 7 \times 39 = 273 \), \( 13 \times 21 = 273 \). Верно.
  2. \( \frac{1}{12} = \frac{6}{60} \) → \( 1 \times 60 = 60 \), \( 12 \times 6 = 72 \). Неверно.
  3. \( \frac{7}{26} = \frac{35}{130} \) → \( 7 \times 130 = 910 \), \( 26 \times 35 = 910 \). Верно.
  4. \( \frac{8}{25} = \frac{24}{75} \) → \( 8 \times 75 = 600 \), \( 25 \times 24 = 600 \). Верно.
  5. \( \frac{6}{8} = \frac{20}{35} \) → \( 6 \times 35 = 210 \), \( 8 \times 20 = 160 \). Неверно.
  6. \( \frac{4}{15} = \frac{8}{30} \) → \( 4 \times 30 = 120 \), \( 15 \times 8 = 120 \). Верно.
  7. \( \frac{13}{23} = \frac{39}{50} \) → \( 13 \times 50 = 650 \), \( 23 \times 39 = 897 \). Неверно.
  8. \( \frac{1}{8} = \frac{5}{32} \) → \( 1 \times 32 = 32 \), \( 8 \times 5 = 40 \). Неверно.
  9. \( \frac{13}{21} = \frac{56}{84} \) → \( 13 \times 84 = 1092 \), \( 21 \times 56 = 1176 \). Неверно.
  10. \( \frac{18}{23} = \frac{72}{92} \) → \( 18 \times 92 = 1656 \), \( 23 \times 72 = 1656 \). Верно.
  11. \( \frac{1}{11} = \frac{6}{55} \) → \( 1 \times 55 = 55 \), \( 11 \times 6 = 66 \). Неверно.
  12. \( \frac{5}{11} = \frac{25}{59} \) → \( 5 \times 59 = 295 \), \( 11 \times 25 = 275 \). Неверно.
  13. \( \frac{3}{8} = \frac{12}{32} \) → \( 3 \times 32 = 96 \), \( 8 \times 12 = 96 \). Верно.
  14. \( \frac{5}{8} = \frac{38}{56} \) → \( 5 \times 56 = 280 \), \( 8 \times 38 = 304 \). Неверно.
  15. \( \frac{3}{13} = \frac{9}{39} \) → \( 3 \times 39 = 117 \), \( 13 \times 9 = 117 \). Верно.
  16. \( \frac{6}{7} = \frac{24}{28} \) → \( 6 \times 28 = 168 \), \( 7 \times 24 = 168 \). Верно.
  17. \( \frac{3}{13} = \frac{9}{39} \) → \( 3 \times 39 = 117 \), \( 13 \times 9 = 117 \). Верно.
  18. \( \frac{2}{3} = \frac{11}{12} \) → \( 2 \times 12 = 24 \), \( 3 \times 11 = 33 \). Неверно.
  19. \( \frac{1}{8} = \frac{5}{24} \) → \( 1 \times 24 = 24 \), \( 8 \times 5 = 40 \). Неверно.
  20. \( \frac{8}{13} = \frac{48}{78} \) → \( 8 \times 78 = 624 \), \( 13 \times 48 = 624 \). Верно.
  21. \( \frac{3}{7} = \frac{6}{14} \) → \( 3 \times 14 = 42 \), \( 7 \times 6 = 42 \). Верно.
  22. \( \frac{1}{2} = \frac{3}{4} \) → \( 1 \times 4 = 4 \), \( 2 \times 3 = 6 \). Неверно.
  23. \( \frac{8}{15} = \frac{48}{94} \) → \( 8 \times 94 = 752 \), \( 15 \times 48 = 720 \). Неверно.
  24. \( \frac{19}{28} = \frac{76}{112} \) → \( 19 \times 112 = 2128 \), \( 28 \times 76 = 2128 \). Верно.
  25. \( \frac{4}{5} = \frac{16}{22} \) → \( 4 \times 22 = 88 \), \( 5 \times 16 = 80 \). Неверно.
  26. \( \frac{13}{22} = \frac{26}{44} \) → \( 13 \times 44 = 572 \), \( 22 \times 26 = 572 \). Верно.
  27. \( \frac{1}{24} = \frac{6}{144} \) → \( 1 \times 144 = 144 \), \( 24 \times 6 = 144 \). Верно.
  28. \( \frac{5}{17} = \frac{25}{85} \) → \( 5 \times 85 = 425 \), \( 17 \times 25 = 425 \). Верно.
  29. \( \frac{3}{5} = \frac{6}{13} \) → \( 3 \times 13 = 39 \), \( 5 \times 6 = 30 \). Неверно.
  30. \( \frac{11}{24} = \frac{55}{120} \) → \( 11 \times 120 = 1320 \), \( 24 \times 55 = 1320 \). Верно.
  31. \( \frac{1}{7} = \frac{2}{16} \) → \( 1 \times 16 = 16 \), \( 7 \times 2 = 14 \). Неверно.
  32. \( \frac{5}{7} = \frac{25}{35} \) → \( 5 \times 35 = 175 \), \( 7 \times 25 = 175 \). Верно.

Ответ: Верные равенства: \( \frac{7}{13} = \frac{21}{39} \), \( \frac{7}{26} = \frac{35}{130} \), \( \frac{8}{25} = \frac{24}{75} \), \( \frac{4}{15} = \frac{8}{30} \), \( \frac{18}{23} = \frac{72}{92} \), \( \frac{3}{8} = \frac{12}{32} \), \( \frac{3}{13} = \frac{9}{39} \) (дважды), \( \frac{6}{7} = \frac{24}{28} \), \( \frac{8}{13} = \frac{48}{78} \), \( \frac{3}{7} = \frac{6}{14} \), \( \frac{19}{28} = \frac{76}{112} \), \( \frac{13}{22} = \frac{26}{44} \), \( \frac{1}{24} = \frac{6}{144} \), \( \frac{5}{17} = \frac{25}{85} \), \( \frac{11}{24} = \frac{55}{120} \), \( \frac{5}{7} = \frac{25}{35} \).