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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 910 · 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. 1.3/4 + 5/9 =
  2. 2.7/11 + 3/4 =
  3. 3.1/3 + 5/9 =
  4. 4.4/12 − 2/11 =
  5. 5.5/8 + 5/6 =
  6. 6.7/12 + 6/9 =
  7. 7.4/6 − 1/3 =
  8. 8.1/2 + 1/2 =
  9. 9.3/7 + 3/4 =
  10. 10.7/8 + 9/11 =
  11. 11.10/12 + 5/9 =
  12. 12.1/6 + 7/8 =
  13. 13.6/7 − 5/7 =
  14. 14.3/8 + 1/5 =
  15. 15.10/11 − 1/6 =
  16. 16.8/10 + 5/8 =
  17. 17.1/6 + 5/10 =
  18. 18.5/12 + 2/8 =
  19. 19.8/11 + 2/5 =
  20. 20.2/7 + 3/4 =
  21. 21.1/8 + 1/3 =
  22. 22.2/5 + 4/5 =
  23. 23.3/8 + 4/11 =
  24. 24.9/11 − 3/6 =
  25. 25.3/7 + 1/2 =
  26. 26.1/3 + 2/8 =
  27. 27.4/8 − 1/11 =
  28. 28.1/5 + 5/6 =
  29. 29.1/2 − 2/12 =
  30. 30.4/5 + 4/9 =
  31. 31.1/3 + 2/3 =
  32. 32.5/6 + 1/3 =
  33. 33.2/10 + 6/8 =
  34. 34.2/5 + 3/4 =
  35. 35.2/3 − 2/4 =
  36. 36.1/5 + 1/3 =
  37. 37.1/3 + 1/7 =
  38. 38.8/12 − 1/2 =
  39. 39.2/7 + 3/11 =
  40. 40.4/8 − 2/12 =

Answer key

  1. 47/36
  2. 61/44
  3. 8/9
  4. 5/33
  5. 35/24
  6. 5/4
  7. 1/3
  8. 1
  9. 33/28
  10. 149/88
  11. 25/18
  12. 25/24
  13. 1/7
  14. 23/40
  15. 49/66
  16. 57/40
  17. 2/3
  18. 2/3
  19. 62/55
  20. 29/28
  21. 11/24
  22. 6/5
  23. 65/88
  24. 7/22
  25. 13/14
  26. 7/12
  27. 9/22
  28. 31/30
  29. 1/3
  30. 56/45
  31. 1
  32. 7/6
  33. 19/20
  34. 23/20
  35. 1/6
  36. 8/15
  37. 10/21
  38. 1/6
  39. 43/77
  40. 1/3

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