Вопрос:

11. Представь неправильные дроби в виде смешанных чисел и смешанные числа в виде неправильных дробей 28 = 6 66 13 2 2 = 45 1 21-= 3 = 23 4 71 9 5 1-= 12 3 57-= 8 17 = 11 63 = 11 4 51-= 24 1 5-= 7 43 = 7 47 13 = 2 73-= 15 2 3-= 5 28 = 4 100 24 = 3 1-= 99 5 1-= 8 57 = 5 69 23 = 6 3-= 19 2 = 36 = 7 37 15 = 7 12-= 29 3 3-= 4 32 = 8 61 = 14 5 3-= 18 7 6-= 8 119 = 12 41 18 = 1 12-= 5 4 11-= 11 54 = 43 125 = 25 1 15-= 10 7 5-= 12

Ответ:

Преобразуем неправильные дроби в смешанные числа и смешанные числа в неправильные дроби:

  1. $$ \frac{28}{6} = 4\frac{4}{6} = 4\frac{2}{3} $$
  2. $$ \frac{66}{13} = 5\frac{1}{13} $$
  3. $$ 2\frac{2}{45} = \frac{2 \cdot 45 + 2}{45} = \frac{90 + 2}{45} = \frac{92}{45} $$
  4. $$ 21\frac{1}{3} = \frac{21 \cdot 3 + 1}{3} = \frac{63 + 1}{3} = \frac{64}{3} $$
  5. $$ \frac{23}{4} = 5\frac{3}{4} $$
  6. $$ \frac{71}{9} = 7\frac{8}{9} $$
  7. $$ 1\frac{5}{12} = \frac{1 \cdot 12 + 5}{12} = \frac{12 + 5}{12} = \frac{17}{12} $$
  8. $$ 57\frac{3}{8} = \frac{57 \cdot 8 + 3}{8} = \frac{456 + 3}{8} = \frac{459}{8} $$
  9. $$ \frac{17}{11} = 1\frac{6}{11} $$
  10. $$ \frac{63}{11} = 5\frac{8}{11} $$
  11. $$ 51\frac{4}{24} = \frac{51 \cdot 24 + 4}{24} = \frac{1224 + 4}{24} = \frac{1228}{24} = \frac{307}{6} $$
  12. $$ 5\frac{1}{7} = \frac{5 \cdot 7 + 1}{7} = \frac{35 + 1}{7} = \frac{36}{7} $$
  13. $$ \frac{43}{7} = 6\frac{1}{7} $$
  14. $$ \frac{47}{13} = 3\frac{8}{13} $$
  15. $$ 73\frac{2}{15} = \frac{73 \cdot 15 + 2}{15} = \frac{1095 + 2}{15} = \frac{1097}{15} $$
  16. $$ 3\frac{2}{5} = \frac{3 \cdot 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5} $$
  17. $$ \frac{28}{4} = 7 $$
  18. $$ \frac{100}{24} = 4\frac{4}{24} = 4\frac{1}{6} $$
  19. $$ 1\frac{3}{99} = \frac{1 \cdot 99 + 3}{99} = \frac{99 + 3}{99} = \frac{102}{99} = \frac{34}{33} $$
  20. $$ 1\frac{5}{8} = \frac{1 \cdot 8 + 5}{8} = \frac{8 + 5}{8} = \frac{13}{8} $$
  21. $$ \frac{57}{5} = 11\frac{2}{5} $$
  22. $$ \frac{69}{23} = 3 $$
  23. $$ 3\frac{6}{19} = \frac{3 \cdot 19 + 6}{19} = \frac{57 + 6}{19} = \frac{63}{19} $$
  24. $$ 2 = \frac{2}{1} $$
  25. $$ \frac{36}{7} = 5\frac{1}{7} $$
  26. $$ \frac{37}{15} = 2\frac{7}{15} $$
  27. $$ 12\frac{7}{29} = \frac{12 \cdot 29 + 7}{29} = \frac{348 + 7}{29} = \frac{355}{29} $$
  28. $$ 3\frac{3}{4} = \frac{3 \cdot 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} $$
  29. $$ \frac{32}{8} = 4 $$
  30. $$ \frac{61}{14} = 4\frac{5}{14} $$
  31. $$ 3\frac{5}{18} = \frac{3 \cdot 18 + 5}{18} = \frac{54 + 5}{18} = \frac{59}{18} $$
  32. $$ 6\frac{7}{8} = \frac{6 \cdot 8 + 7}{8} = \frac{48 + 7}{8} = \frac{55}{8} $$
  33. $$ \frac{119}{12} = 9\frac{11}{12} $$
  34. $$ \frac{41}{18} = 2\frac{5}{18} $$
  35. $$ 12\frac{1}{5} = \frac{12 \cdot 5 + 1}{5} = \frac{60 + 1}{5} = \frac{61}{5} $$
  36. $$ 11\frac{4}{11} = \frac{11 \cdot 11 + 4}{11} = \frac{121 + 4}{11} = \frac{125}{11} $$
  37. $$ \frac{54}{43} = 1\frac{11}{43} $$
  38. $$ \frac{125}{25} = 5 $$
  39. $$ 15\frac{1}{10} = \frac{15 \cdot 10 + 1}{10} = \frac{150 + 1}{10} = \frac{151}{10} $$
  40. $$ 5\frac{7}{12} = \frac{5 \cdot 12 + 7}{12} = \frac{60 + 7}{12} = \frac{67}{12} $$

Ответ: См. решение.

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