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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 857 · 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. 1.6/8 + 5/7 =
  2. 2.7/9 + 7/11 =
  3. 3.2/3 + 1/2 =
  4. 4.2/12 + 6/10 =
  5. 5.4/7 − 1/4 =
  6. 6.2/3 + 2/8 =
  7. 7.5/7 − 6/11 =
  8. 8.1/3 + 2/5 =
  9. 9.4/9 + 1/2 =
  10. 10.1/3 − 1/4 =
  11. 11.6/10 + 7/8 =
  12. 12.6/9 + 3/4 =
  13. 13.1/2 + 4/5 =
  14. 14.6/9 + 2/3 =
  15. 15.6/11 − 1/8 =
  16. 16.1/8 + 3/10 =
  17. 17.6/8 + 6/7 =
  18. 18.6/12 − 1/6 =
  19. 19.9/10 + 2/11 =
  20. 20.1/6 + 7/10 =
  21. 21.5/12 + 3/4 =
  22. 22.2/3 − 2/6 =
  23. 23.7/11 − 6/11 =
  24. 24.6/12 + 1/2 =
  25. 25.8/11 − 1/7 =
  26. 26.2/9 + 2/3 =
  27. 27.8/9 + 2/9 =
  28. 28.3/12 + 1/2 =
  29. 29.1/2 + 2/5 =
  30. 30.1/8 + 2/3 =
  31. 31.5/11 + 1/10 =
  32. 32.5/11 + 5/7 =
  33. 33.2/3 − 6/12 =
  34. 34.3/7 + 1/2 =
  35. 35.4/6 − 5/9 =
  36. 36.3/5 − 1/9 =
  37. 37.5/8 + 2/9 =
  38. 38.1/4 + 3/4 =
  39. 39.1/3 + 1/2 =
  40. 40.10/12 − 4/8 =

Answer key

  1. 41/28
  2. 140/99
  3. 7/6
  4. 23/30
  5. 9/28
  6. 11/12
  7. 13/77
  8. 11/15
  9. 17/18
  10. 1/12
  11. 59/40
  12. 17/12
  13. 13/10
  14. 4/3
  15. 37/88
  16. 17/40
  17. 45/28
  18. 1/3
  19. 119/110
  20. 13/15
  21. 7/6
  22. 1/3
  23. 1/11
  24. 1
  25. 45/77
  26. 8/9
  27. 10/9
  28. 3/4
  29. 9/10
  30. 19/24
  31. 61/110
  32. 90/77
  33. 1/6
  34. 13/14
  35. 1/9
  36. 22/45
  37. 61/72
  38. 1
  39. 5/6
  40. 1/3

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