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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 706 · 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. 1.2/4 + 1/3 =
  2. 2.1/3 + 2/9 =
  3. 3.3/12 + 1/2 =
  4. 4.6/8 − 3/7 =
  5. 5.3/7 + 1/4 =
  6. 6.1/2 + 2/3 =
  7. 7.2/3 + 8/9 =
  8. 8.2/3 − 1/4 =
  9. 9.3/12 + 6/8 =
  10. 10.2/7 + 11/12 =
  11. 11.1/4 + 11/12 =
  12. 12.5/9 − 4/9 =
  13. 13.3/4 + 3/6 =
  14. 14.3/9 + 6/12 =
  15. 15.1/2 + 7/9 =
  16. 16.6/12 − 1/3 =
  17. 17.6/12 + 2/12 =
  18. 18.3/4 + 3/11 =
  19. 19.4/9 + 1/2 =
  20. 20.3/4 + 4/5 =
  21. 21.6/7 + 2/12 =
  22. 22.6/7 − 2/6 =
  23. 23.2/7 + 2/7 =
  24. 24.6/8 + 5/9 =
  25. 25.1/2 − 1/4 =
  26. 26.5/7 − 3/12 =
  27. 27.7/8 + 2/7 =
  28. 28.3/8 − 2/12 =
  29. 29.1/3 − 1/5 =
  30. 30.7/12 + 2/5 =
  31. 31.5/6 + 3/5 =
  32. 32.3/4 − 1/5 =
  33. 33.4/5 + 1/3 =
  34. 34.2/7 + 1/11 =
  35. 35.2/9 + 1/5 =
  36. 36.4/12 − 3/12 =
  37. 37.9/12 − 6/11 =
  38. 38.3/9 + 2/4 =
  39. 39.7/12 + 2/3 =
  40. 40.2/3 − 5/9 =

Answer key

  1. 5/6
  2. 5/9
  3. 3/4
  4. 9/28
  5. 19/28
  6. 7/6
  7. 14/9
  8. 5/12
  9. 1
  10. 101/84
  11. 7/6
  12. 1/9
  13. 5/4
  14. 5/6
  15. 23/18
  16. 1/6
  17. 2/3
  18. 45/44
  19. 17/18
  20. 31/20
  21. 43/42
  22. 11/21
  23. 4/7
  24. 47/36
  25. 1/4
  26. 13/28
  27. 65/56
  28. 5/24
  29. 2/15
  30. 59/60
  31. 43/30
  32. 11/20
  33. 17/15
  34. 29/77
  35. 19/45
  36. 1/12
  37. 9/44
  38. 5/6
  39. 5/4
  40. 1/9

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