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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 961 · 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. 1.2/12 − 1/9 =
  2. 2.2/4 + 4/9 =
  3. 3.2/4 + 2/3 =
  4. 4.3/4 + 3/5 =
  5. 5.8/9 − 1/2 =
  6. 6.2/3 + 10/11 =
  7. 7.2/5 + 1/2 =
  8. 8.1/10 + 1/2 =
  9. 9.8/12 − 1/6 =
  10. 10.3/5 + 1/4 =
  11. 11.3/5 + 1/8 =
  12. 12.4/6 + 1/9 =
  13. 13.1/3 − 2/9 =
  14. 14.6/7 − 8/12 =
  15. 15.1/3 + 1/5 =
  16. 16.1/8 + 1/2 =
  17. 17.3/8 − 3/11 =
  18. 18.1/4 + 1/10 =
  19. 19.5/8 − 1/6 =
  20. 20.2/5 + 4/5 =
  21. 21.2/4 + 1/2 =
  22. 22.4/6 − 2/8 =
  23. 23.9/11 + 1/2 =
  24. 24.9/10 − 1/2 =
  25. 25.2/3 + 7/9 =
  26. 26.1/2 − 2/7 =
  27. 27.3/4 + 4/11 =
  28. 28.1/2 + 3/11 =
  29. 29.1/4 + 5/6 =
  30. 30.2/3 + 1/4 =
  31. 31.1/3 + 1/6 =
  32. 32.3/7 + 4/6 =
  33. 33.3/4 − 5/11 =
  34. 34.1/6 + 2/12 =
  35. 35.3/6 + 10/11 =
  36. 36.1/2 + 2/11 =
  37. 37.8/9 − 2/8 =
  38. 38.6/10 + 2/3 =
  39. 39.9/10 − 2/11 =
  40. 40.3/9 + 5/11 =

Answer key

  1. 1/18
  2. 17/18
  3. 7/6
  4. 27/20
  5. 7/18
  6. 52/33
  7. 9/10
  8. 3/5
  9. 1/2
  10. 17/20
  11. 29/40
  12. 7/9
  13. 1/9
  14. 4/21
  15. 8/15
  16. 5/8
  17. 9/88
  18. 7/20
  19. 11/24
  20. 6/5
  21. 1
  22. 5/12
  23. 29/22
  24. 2/5
  25. 13/9
  26. 3/14
  27. 49/44
  28. 17/22
  29. 13/12
  30. 11/12
  31. 1/2
  32. 23/21
  33. 13/44
  34. 1/3
  35. 31/22
  36. 15/22
  37. 23/36
  38. 19/15
  39. 79/110
  40. 26/33

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