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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 764 · 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. 1.10/12 + 4/9 =
  2. 2.9/11 + 7/12 =
  3. 3.1/2 + 1/3 =
  4. 4.3/5 + 10/11 =
  5. 5.4/10 + 1/12 =
  6. 6.5/7 + 3/9 =
  7. 7.3/4 − 1/5 =
  8. 8.1/4 + 5/11 =
  9. 9.1/7 + 4/11 =
  10. 10.2/5 − 3/11 =
  11. 11.1/2 − 2/9 =
  12. 12.5/10 + 11/12 =
  13. 13.3/4 + 3/4 =
  14. 14.3/5 + 1/3 =
  15. 15.3/7 − 1/8 =
  16. 16.7/11 + 3/4 =
  17. 17.4/11 + 2/8 =
  18. 18.4/7 − 5/10 =
  19. 19.1/6 + 4/10 =
  20. 20.3/4 + 1/2 =
  21. 21.1/2 + 4/7 =
  22. 22.2/9 + 1/4 =
  23. 23.1/2 + 7/8 =
  24. 24.1/3 + 4/12 =
  25. 25.1/2 + 1/3 =
  26. 26.11/12 + 2/10 =
  27. 27.2/11 + 8/11 =
  28. 28.1/2 + 6/7 =
  29. 29.1/5 + 5/10 =
  30. 30.1/5 + 3/12 =
  31. 31.1/2 − 1/6 =
  32. 32.1/3 + 4/8 =
  33. 33.1/5 + 4/6 =
  34. 34.2/3 + 7/8 =
  35. 35.3/4 + 1/11 =
  36. 36.8/9 − 1/5 =
  37. 37.1/12 + 10/12 =
  38. 38.7/9 + 5/6 =
  39. 39.4/6 − 3/5 =
  40. 40.1/2 + 2/4 =

Answer key

  1. 23/18
  2. 185/132
  3. 5/6
  4. 83/55
  5. 29/60
  6. 22/21
  7. 11/20
  8. 31/44
  9. 39/77
  10. 7/55
  11. 5/18
  12. 17/12
  13. 3/2
  14. 14/15
  15. 17/56
  16. 61/44
  17. 27/44
  18. 1/14
  19. 17/30
  20. 5/4
  21. 15/14
  22. 17/36
  23. 11/8
  24. 2/3
  25. 5/6
  26. 67/60
  27. 10/11
  28. 19/14
  29. 7/10
  30. 9/20
  31. 1/3
  32. 5/6
  33. 13/15
  34. 37/24
  35. 37/44
  36. 31/45
  37. 11/12
  38. 29/18
  39. 1/15
  40. 1

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