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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 74 · 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. 1.2/3 + 7/9 =
  2. 2.1/2 − 1/12 =
  3. 3.1/2 + 5/8 =
  4. 4.6/8 + 1/3 =
  5. 5.1/10 + 4/5 =
  6. 6.2/11 + 2/4 =
  7. 7.4/11 + 4/9 =
  8. 8.2/7 + 9/12 =
  9. 9.1/2 + 1/2 =
  10. 10.9/12 + 7/11 =
  11. 11.2/3 + 3/4 =
  12. 12.1/4 + 2/6 =
  13. 13.1/7 + 1/3 =
  14. 14.2/3 + 6/12 =
  15. 15.1/3 − 1/4 =
  16. 16.2/5 + 1/4 =
  17. 17.1/2 + 1/2 =
  18. 18.3/9 − 1/7 =
  19. 19.1/3 + 2/6 =
  20. 20.3/7 + 3/8 =
  21. 21.8/9 − 3/5 =
  22. 22.2/10 + 3/4 =
  23. 23.2/3 − 4/9 =
  24. 24.3/4 − 1/12 =
  25. 25.1/8 + 5/7 =
  26. 26.1/6 + 6/8 =
  27. 27.2/3 − 3/5 =
  28. 28.2/3 − 5/9 =
  29. 29.4/6 + 3/12 =
  30. 30.2/8 + 1/5 =
  31. 31.2/8 + 5/9 =
  32. 32.1/2 − 5/12 =
  33. 33.5/12 + 1/3 =
  34. 34.2/3 + 4/8 =
  35. 35.2/3 − 5/9 =
  36. 36.2/5 − 3/11 =
  37. 37.1/3 + 1/2 =
  38. 38.1/2 − 3/10 =
  39. 39.2/3 + 7/8 =
  40. 40.1/2 − 2/9 =

Answer key

  1. 13/9
  2. 5/12
  3. 9/8
  4. 13/12
  5. 9/10
  6. 15/22
  7. 80/99
  8. 29/28
  9. 1
  10. 61/44
  11. 17/12
  12. 7/12
  13. 10/21
  14. 7/6
  15. 1/12
  16. 13/20
  17. 1
  18. 4/21
  19. 2/3
  20. 45/56
  21. 13/45
  22. 19/20
  23. 2/9
  24. 2/3
  25. 47/56
  26. 11/12
  27. 1/15
  28. 1/9
  29. 11/12
  30. 9/20
  31. 29/36
  32. 1/12
  33. 3/4
  34. 7/6
  35. 1/9
  36. 7/55
  37. 5/6
  38. 1/5
  39. 37/24
  40. 5/18

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