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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 461 · 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. 1.4/6 − 2/6 =
  2. 2.3/4 − 1/6 =
  3. 3.10/11 + 7/9 =
  4. 4.9/11 + 8/9 =
  5. 5.2/4 + 9/12 =
  6. 6.6/8 + 1/7 =
  7. 7.3/4 + 2/9 =
  8. 8.6/9 + 1/6 =
  9. 9.1/2 + 1/2 =
  10. 10.7/8 − 1/11 =
  11. 11.7/12 + 3/11 =
  12. 12.3/4 − 4/6 =
  13. 13.1/2 + 1/2 =
  14. 14.4/10 + 1/8 =
  15. 15.6/8 + 4/8 =
  16. 16.1/3 − 1/4 =
  17. 17.7/9 − 2/7 =
  18. 18.3/5 + 1/2 =
  19. 19.7/10 + 7/9 =
  20. 20.4/5 + 4/5 =
  21. 21.8/9 − 7/9 =
  22. 22.4/6 + 1/4 =
  23. 23.6/11 + 1/7 =
  24. 24.2/3 + 5/12 =
  25. 25.6/8 − 2/3 =
  26. 26.8/12 − 1/3 =
  27. 27.4/5 − 5/9 =
  28. 28.2/4 − 2/12 =
  29. 29.8/11 − 3/12 =
  30. 30.1/8 + 1/2 =
  31. 31.1/6 + 1/5 =
  32. 32.3/4 − 6/12 =
  33. 33.4/7 − 3/6 =
  34. 34.1/3 + 2/5 =
  35. 35.4/8 + 4/11 =
  36. 36.3/4 + 1/6 =
  37. 37.1/4 + 2/5 =
  38. 38.1/5 + 1/5 =
  39. 39.1/3 − 2/11 =
  40. 40.1/4 + 2/4 =

Answer key

  1. 1/3
  2. 7/12
  3. 167/99
  4. 169/99
  5. 5/4
  6. 25/28
  7. 35/36
  8. 5/6
  9. 1
  10. 69/88
  11. 113/132
  12. 1/12
  13. 1
  14. 21/40
  15. 5/4
  16. 1/12
  17. 31/63
  18. 11/10
  19. 133/90
  20. 8/5
  21. 1/9
  22. 11/12
  23. 53/77
  24. 13/12
  25. 1/12
  26. 1/3
  27. 11/45
  28. 1/3
  29. 21/44
  30. 5/8
  31. 11/30
  32. 1/4
  33. 1/14
  34. 11/15
  35. 19/22
  36. 11/12
  37. 13/20
  38. 2/5
  39. 5/33
  40. 3/4

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