Вопрос:

Тренажер «Сложение и вычитание смешанных чисел» 1. 2 \frac{1}{3} + 1 \frac{3}{4}; 2. 5 \frac{3}{8} - 2 \frac{5}{8}; 3. 3 \frac{1}{2} + 4 \frac{3}{4}; 4. 6 \frac{3}{4} - 2 \frac{1}{3}; 5. 1 \frac{2}{5} + 3 \frac{4}{5}; 6. 7 \frac{1}{6} - 4 \frac{1}{3}; 7. 2 \frac{5}{6} + 3 \frac{2}{3}; 8. 9 \frac{1}{2} - 3 \frac{3}{4}; 9. 4 \frac{5}{8} + 2 \frac{3}{8}; 10. 8 \frac{4}{5} - 5 \frac{2}{5}; 11. 3 \frac{1}{3} + 3 \frac{2}{3}; 12. 6 \frac{1}{2} - 1 \frac{3}{4}; 13. 5 \frac{1}{6} + 4 \frac{5}{6}; 14. 7 \frac{5}{8} - 4 \frac{3}{8}; 15. 2 \frac{3}{5} + 3 \frac{2}{5}; 16. 8 \frac{3}{4} - 5 \frac{3}{1}; 17. 4 \frac{1}{3} + 3 \frac{1}{6}; 18. 9 \frac{5}{8} - 6 \frac{3}{8}; 19. 1 \frac{1}{2} + 5 \frac{3}{4}; 20. 6 \frac{4}{5} - 2 \frac{2}{5}; 21. 3 \frac{3}{4} + 4 \frac{1}{4}; 22. 8 \frac{1}{3} - 5 \frac{1}{6}; 23. 2 \frac{5}{8} + 3 \frac{3}{8}; 24. 7 \frac{1}{2} - 4 \frac{3}{4}; 25. 5 \frac{2}{5} + 2 \frac{4}{5}; 26. 9 \frac{1}{4} - 3 \frac{3}{4}; 27. 4 \frac{1}{6} + 5 \frac{1}{3}; 28. 8 \frac{5}{8} - 2 \frac{3}{8}; 29. 3 \frac{4}{5} + 4 \frac{2}{5}; 30. 7 \frac{3}{4} - 5 \frac{1}{4}; 31. 2 \frac{1}{3} + 5 \frac{1}{6}; 32. 6 \frac{1}{2} - 3 \frac{3}{4}; 33. 4 \frac{5}{8} + 1 \frac{3}{8}; 34. 8 \frac{4}{5} - 4 \frac{2}{5}; 35. 3 \frac{1}{4} + 2 \frac{3}{4}; 36. 7 \frac{1}{3} - 4 \frac{1}{6}; 37. 5 \frac{5}{8} + 2 \frac{3}{8}; 38. 9 \frac{1}{2} - 6 \frac{3}{4}; 39. 2 \frac{2}{5} + 5 \frac{4}{5}; 40. 8 \frac{1}{4} - 3 \frac{3}{4};

Ответ:

  1. $$2 \frac{1}{3} + 1 \frac{3}{4} = 2 \frac{4}{12} + 1 \frac{9}{12} = 3 \frac{13}{12} = 4 \frac{1}{12}$$
  2. $$5 \frac{3}{8} - 2 \frac{5}{8} = 4 \frac{11}{8} - 2 \frac{5}{8} = 2 \frac{6}{8} = 2 \frac{3}{4}$$
  3. $$3 \frac{1}{2} + 4 \frac{3}{4} = 3 \frac{2}{4} + 4 \frac{3}{4} = 7 \frac{5}{4} = 8 \frac{1}{4}$$
  4. $$6 \frac{3}{4} - 2 \frac{1}{3} = 6 \frac{9}{12} - 2 \frac{4}{12} = 4 \frac{5}{12}$$
  5. $$1 \frac{2}{5} + 3 \frac{4}{5} = 4 \frac{6}{5} = 5 \frac{1}{5}$$
  6. $$7 \frac{1}{6} - 4 \frac{1}{3} = 7 \frac{1}{6} - 4 \frac{2}{6} = 6 \frac{7}{6} - 4 \frac{2}{6} = 2 \frac{5}{6}$$
  7. $$2 \frac{5}{6} + 3 \frac{2}{3} = 2 \frac{5}{6} + 3 \frac{4}{6} = 5 \frac{9}{6} = 6 \frac{3}{6} = 6 \frac{1}{2}$$
  8. $$9 \frac{1}{2} - 3 \frac{3}{4} = 9 \frac{2}{4} - 3 \frac{3}{4} = 8 \frac{6}{4} - 3 \frac{3}{4} = 5 \frac{3}{4}$$
  9. $$4 \frac{5}{8} + 2 \frac{3}{8} = 6 \frac{8}{8} = 7$$
  10. $$8 \frac{4}{5} - 5 \frac{2}{5} = 3 \frac{2}{5}$$
  11. $$3 \frac{1}{3} + 3 \frac{2}{3} = 6 \frac{3}{3} = 7$$
  12. $$6 \frac{1}{2} - 1 \frac{3}{4} = 6 \frac{2}{4} - 1 \frac{3}{4} = 5 \frac{6}{4} - 1 \frac{3}{4} = 4 \frac{3}{4}$$
  13. $$5 \frac{1}{6} + 4 \frac{5}{6} = 9 \frac{6}{6} = 10$$
  14. $$7 \frac{5}{8} - 4 \frac{3}{8} = 3 \frac{2}{8} = 3 \frac{1}{4}$$
  15. $$2 \frac{3}{5} + 3 \frac{2}{5} = 5 \frac{5}{5} = 6$$
  16. $$8 \frac{3}{4} - 5 \frac{3}{1} = 8 \frac{3}{4} - 5 \frac{12}{4} = 7 \frac{7}{4} - 5 \frac{12}{4} = 2 \frac{-5}{4} = \text{не имеет смысла, так как дробь отрицательная}$$
  17. $$4 \frac{1}{3} + 3 \frac{1}{6} = 4 \frac{2}{6} + 3 \frac{1}{6} = 7 \frac{3}{6} = 7 \frac{1}{2}$$
  18. $$9 \frac{5}{8} - 6 \frac{3}{8} = 3 \frac{2}{8} = 3 \frac{1}{4}$$
  19. $$1 \frac{1}{2} + 5 \frac{3}{4} = 1 \frac{2}{4} + 5 \frac{3}{4} = 6 \frac{5}{4} = 7 \frac{1}{4}$$
  20. $$6 \frac{4}{5} - 2 \frac{2}{5} = 4 \frac{2}{5}$$
  21. $$3 \frac{3}{4} + 4 \frac{1}{4} = 7 \frac{4}{4} = 8$$
  22. $$8 \frac{1}{3} - 5 \frac{1}{6} = 8 \frac{2}{6} - 5 \frac{1}{6} = 3 \frac{1}{6}$$
  23. $$2 \frac{5}{8} + 3 \frac{3}{8} = 5 \frac{8}{8} = 6$$
  24. $$7 \frac{1}{2} - 4 \frac{3}{4} = 7 \frac{2}{4} - 4 \frac{3}{4} = 6 \frac{6}{4} - 4 \frac{3}{4} = 2 \frac{3}{4}$$
  25. $$5 \frac{2}{5} + 2 \frac{4}{5} = 7 \frac{6}{5} = 8 \frac{1}{5}$$
  26. $$9 \frac{1}{4} - 3 \frac{3}{4} = 8 \frac{5}{4} - 3 \frac{3}{4} = 5 \frac{2}{4} = 5 \frac{1}{2}$$
  27. $$4 \frac{1}{6} + 5 \frac{1}{3} = 4 \frac{1}{6} + 5 \frac{2}{6} = 9 \frac{3}{6} = 9 \frac{1}{2}$$
  28. $$8 \frac{5}{8} - 2 \frac{3}{8} = 6 \frac{2}{8} = 6 \frac{1}{4}$$
  29. $$3 \frac{4}{5} + 4 \frac{2}{5} = 7 \frac{6}{5} = 8 \frac{1}{5}$$
  30. $$7 \frac{3}{4} - 5 \frac{1}{4} = 2 \frac{2}{4} = 2 \frac{1}{2}$$
  31. $$2 \frac{1}{3} + 5 \frac{1}{6} = 2 \frac{2}{6} + 5 \frac{1}{6} = 7 \frac{3}{6} = 7 \frac{1}{2}$$
  32. $$6 \frac{1}{2} - 3 \frac{3}{4} = 6 \frac{2}{4} - 3 \frac{3}{4} = 5 \frac{6}{4} - 3 \frac{3}{4} = 2 \frac{3}{4}$$
  33. $$4 \frac{5}{8} + 1 \frac{3}{8} = 5 \frac{8}{8} = 6$$
  34. $$8 \frac{4}{5} - 4 \frac{2}{5} = 4 \frac{2}{5}$$
  35. $$3 \frac{1}{4} + 2 \frac{3}{4} = 5 \frac{4}{4} = 6$$
  36. $$7 \frac{1}{3} - 4 \frac{1}{6} = 7 \frac{2}{6} - 4 \frac{1}{6} = 3 \frac{1}{6}$$
  37. $$5 \frac{5}{8} + 2 \frac{3}{8} = 7 \frac{8}{8} = 8$$
  38. $$9 \frac{1}{2} - 6 \frac{3}{4} = 9 \frac{2}{4} - 6 \frac{3}{4} = 8 \frac{6}{4} - 6 \frac{3}{4} = 2 \frac{3}{4}$$
  39. $$2 \frac{2}{5} + 5 \frac{4}{5} = 7 \frac{6}{5} = 8 \frac{1}{5}$$
  40. $$8 \frac{1}{4} - 3 \frac{3}{4} = 7 \frac{5}{4} - 3 \frac{3}{4} = 4 \frac{2}{4} = 4 \frac{1}{2}$$
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