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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 100 · 40 sums
TalentJR

The trick (Urdhva Tiryagbhyam): Top: multiply crosswise — first top × second bottom, then first bottom × second top — and add (or subtract). Bottom: multiply the two bottoms. Simplify by dividing top and bottom by their HCF. Give the answer as a fraction like 17/12.

NameDateTime takenScore ___ / 40
  1. 1.2/5 − 4/11 =
  2. 2.4/7 + 6/11 =
  3. 3.1/4 + 5/6 =
  4. 4.1/2 + 7/8 =
  5. 5.4/5 + 1/12 =
  6. 6.1/4 + 2/8 =
  7. 7.3/4 − 2/12 =
  8. 8.5/12 + 2/5 =
  9. 9.9/11 − 8/11 =
  10. 10.3/4 + 1/2 =
  11. 11.5/6 − 5/12 =
  12. 12.2/4 + 1/2 =
  13. 13.1/2 + 10/11 =
  14. 14.3/8 + 3/4 =
  15. 15.6/12 + 1/10 =
  16. 16.2/9 + 4/12 =
  17. 17.1/3 − 3/11 =
  18. 18.2/8 + 3/5 =
  19. 19.5/9 + 5/6 =
  20. 20.1/7 + 9/11 =
  21. 21.1/2 − 1/4 =
  22. 22.3/6 + 6/11 =
  23. 23.4/10 + 1/5 =
  24. 24.5/7 + 4/10 =
  25. 25.1/11 + 5/6 =
  26. 26.5/7 − 4/12 =
  27. 27.7/10 + 1/8 =
  28. 28.1/3 + 6/10 =
  29. 29.1/3 + 3/4 =
  30. 30.1/5 − 1/9 =
  31. 31.5/6 + 1/3 =
  32. 32.6/12 − 1/12 =
  33. 33.5/6 − 2/9 =
  34. 34.1/2 − 1/8 =
  35. 35.7/9 − 2/4 =
  36. 36.4/6 + 4/8 =
  37. 37.3/10 + 4/11 =
  38. 38.1/6 + 1/12 =
  39. 39.3/4 − 3/9 =
  40. 40.4/5 − 7/10 =

Answer key

  1. 2/55
  2. 86/77
  3. 13/12
  4. 11/8
  5. 53/60
  6. 1/2
  7. 7/12
  8. 49/60
  9. 1/11
  10. 5/4
  11. 5/12
  12. 1
  13. 31/22
  14. 9/8
  15. 3/5
  16. 5/9
  17. 2/33
  18. 17/20
  19. 25/18
  20. 74/77
  21. 1/4
  22. 23/22
  23. 3/5
  24. 39/35
  25. 61/66
  26. 8/21
  27. 33/40
  28. 14/15
  29. 13/12
  30. 4/45
  31. 7/6
  32. 5/12
  33. 11/18
  34. 3/8
  35. 5/18
  36. 7/6
  37. 73/110
  38. 1/4
  39. 5/12
  40. 1/10

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