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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 451 · 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 + 5/12 =
  2. 2.1/2 + 6/11 =
  3. 3.1/3 − 1/9 =
  4. 4.1/2 + 1/2 =
  5. 5.1/4 + 1/2 =
  6. 6.3/6 + 8/12 =
  7. 7.4/9 + 1/3 =
  8. 8.8/10 − 2/6 =
  9. 9.1/2 − 1/7 =
  10. 10.1/3 + 3/8 =
  11. 11.11/12 − 3/4 =
  12. 12.5/7 − 2/3 =
  13. 13.2/4 + 9/11 =
  14. 14.3/7 − 2/11 =
  15. 15.1/5 + 1/7 =
  16. 16.10/12 + 7/10 =
  17. 17.3/4 + 7/11 =
  18. 18.1/2 + 1/2 =
  19. 19.2/7 − 2/10 =
  20. 20.1/2 − 5/11 =
  21. 21.5/11 − 1/5 =
  22. 22.5/6 − 1/4 =
  23. 23.9/11 − 1/2 =
  24. 24.5/6 + 6/8 =
  25. 25.2/4 + 5/8 =
  26. 26.1/2 − 1/6 =
  27. 27.1/4 − 1/6 =
  28. 28.1/2 + 1/2 =
  29. 29.6/8 + 1/2 =
  30. 30.7/12 − 1/2 =
  31. 31.1/2 − 1/6 =
  32. 32.1/2 + 1/2 =
  33. 33.5/6 + 4/5 =
  34. 34.4/7 + 1/2 =
  35. 35.8/11 + 1/7 =
  36. 36.4/5 + 1/2 =
  37. 37.2/3 + 7/11 =
  38. 38.2/12 + 11/12 =
  39. 39.1/7 + 5/7 =
  40. 40.10/11 − 1/6 =

Answer key

  1. 13/12
  2. 23/22
  3. 2/9
  4. 1
  5. 3/4
  6. 7/6
  7. 7/9
  8. 7/15
  9. 5/14
  10. 17/24
  11. 1/6
  12. 1/21
  13. 29/22
  14. 19/77
  15. 12/35
  16. 23/15
  17. 61/44
  18. 1
  19. 3/35
  20. 1/22
  21. 14/55
  22. 7/12
  23. 7/22
  24. 19/12
  25. 9/8
  26. 1/3
  27. 1/12
  28. 1
  29. 5/4
  30. 1/12
  31. 1/3
  32. 1
  33. 49/30
  34. 15/14
  35. 67/77
  36. 13/10
  37. 43/33
  38. 13/12
  39. 6/7
  40. 49/66

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