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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 458 · 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. 1.8/10 − 1/3 =
  2. 2.6/11 + 2/12 =
  3. 3.8/11 − 3/7 =
  4. 4.1/2 + 2/10 =
  5. 5.4/6 − 1/7 =
  6. 6.6/10 − 5/12 =
  7. 7.4/10 + 6/9 =
  8. 8.8/11 − 3/11 =
  9. 9.4/8 − 3/9 =
  10. 10.2/8 + 4/8 =
  11. 11.2/3 − 5/9 =
  12. 12.4/10 + 1/3 =
  13. 13.9/11 − 4/7 =
  14. 14.7/8 − 1/3 =
  15. 15.8/9 − 2/5 =
  16. 16.1/2 − 1/5 =
  17. 17.1/2 − 1/5 =
  18. 18.5/7 − 2/3 =
  19. 19.6/7 − 5/10 =
  20. 20.5/11 − 2/6 =
  21. 21.6/12 + 3/6 =
  22. 22.7/12 − 1/9 =
  23. 23.1/4 + 1/3 =
  24. 24.1/3 + 1/3 =
  25. 25.5/8 + 2/5 =
  26. 26.5/12 − 2/11 =
  27. 27.2/3 + 1/2 =
  28. 28.4/6 − 1/6 =
  29. 29.3/4 + 2/5 =
  30. 30.4/6 − 1/2 =
  31. 31.3/5 − 4/8 =
  32. 32.5/10 + 5/10 =
  33. 33.1/3 + 3/8 =
  34. 34.2/3 + 4/6 =
  35. 35.4/10 + 2/5 =
  36. 36.1/3 + 1/5 =
  37. 37.7/8 + 9/11 =
  38. 38.5/7 + 2/10 =
  39. 39.1/9 − 1/10 =
  40. 40.3/4 − 2/3 =

Answer key

  1. 7/15
  2. 47/66
  3. 23/77
  4. 7/10
  5. 11/21
  6. 11/60
  7. 16/15
  8. 5/11
  9. 1/6
  10. 3/4
  11. 1/9
  12. 11/15
  13. 19/77
  14. 13/24
  15. 22/45
  16. 3/10
  17. 3/10
  18. 1/21
  19. 5/14
  20. 4/33
  21. 1
  22. 17/36
  23. 7/12
  24. 2/3
  25. 41/40
  26. 31/132
  27. 7/6
  28. 1/2
  29. 23/20
  30. 1/6
  31. 1/10
  32. 1
  33. 17/24
  34. 4/3
  35. 4/5
  36. 8/15
  37. 149/88
  38. 32/35
  39. 1/90
  40. 1/12

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