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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 577 · 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. 1.4/11 + 5/9 =
  2. 2.3/4 + 2/11 =
  3. 3.1/2 − 1/6 =
  4. 4.1/2 + 2/3 =
  5. 5.3/4 + 5/11 =
  6. 6.7/12 − 1/3 =
  7. 7.4/12 + 11/12 =
  8. 8.3/6 + 3/4 =
  9. 9.2/3 − 1/2 =
  10. 10.2/4 + 1/3 =
  11. 11.4/9 − 4/10 =
  12. 12.1/10 + 1/2 =
  13. 13.6/8 − 2/5 =
  14. 14.4/6 + 2/10 =
  15. 15.3/4 + 3/4 =
  16. 16.1/3 − 1/4 =
  17. 17.8/11 − 1/7 =
  18. 18.1/4 + 7/10 =
  19. 19.5/6 + 2/8 =
  20. 20.1/4 + 3/9 =
  21. 21.6/9 − 2/5 =
  22. 22.3/5 − 1/5 =
  23. 23.2/6 + 6/10 =
  24. 24.6/8 − 2/5 =
  25. 25.1/3 + 6/7 =
  26. 26.2/3 + 3/9 =
  27. 27.6/8 + 1/7 =
  28. 28.1/2 + 2/11 =
  29. 29.2/12 + 3/4 =
  30. 30.2/4 + 2/3 =
  31. 31.5/7 − 7/10 =
  32. 32.4/11 + 6/7 =
  33. 33.1/3 + 9/10 =
  34. 34.1/6 + 7/11 =
  35. 35.2/4 − 1/5 =
  36. 36.1/2 + 2/11 =
  37. 37.4/7 + 3/7 =
  38. 38.1/3 + 8/9 =
  39. 39.5/6 + 2/8 =
  40. 40.2/3 + 5/7 =

Answer key

  1. 91/99
  2. 41/44
  3. 1/3
  4. 7/6
  5. 53/44
  6. 1/4
  7. 5/4
  8. 5/4
  9. 1/6
  10. 5/6
  11. 2/45
  12. 3/5
  13. 7/20
  14. 13/15
  15. 3/2
  16. 1/12
  17. 45/77
  18. 19/20
  19. 13/12
  20. 7/12
  21. 4/15
  22. 2/5
  23. 14/15
  24. 7/20
  25. 25/21
  26. 1
  27. 25/28
  28. 15/22
  29. 11/12
  30. 7/6
  31. 1/70
  32. 94/77
  33. 37/30
  34. 53/66
  35. 3/10
  36. 15/22
  37. 1
  38. 11/9
  39. 13/12
  40. 29/21

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