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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 90 · 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 + 1/3 =
  2. 2.1/4 + 4/11 =
  3. 3.1/2 − 2/10 =
  4. 4.2/3 − 2/5 =
  5. 5.2/8 − 1/9 =
  6. 6.1/10 + 4/8 =
  7. 7.9/10 + 2/9 =
  8. 8.4/9 + 9/10 =
  9. 9.3/4 − 2/8 =
  10. 10.4/5 + 3/4 =
  11. 11.9/11 − 2/5 =
  12. 12.4/12 + 2/11 =
  13. 13.1/7 + 2/5 =
  14. 14.1/8 + 5/11 =
  15. 15.1/2 + 1/5 =
  16. 16.1/3 + 4/12 =
  17. 17.1/2 − 3/10 =
  18. 18.1/4 + 3/8 =
  19. 19.10/12 − 1/6 =
  20. 20.3/6 − 3/10 =
  21. 21.1/2 + 1/4 =
  22. 22.5/10 + 2/6 =
  23. 23.1/3 − 1/9 =
  24. 24.1/3 + 6/10 =
  25. 25.3/4 − 5/11 =
  26. 26.11/12 + 1/2 =
  27. 27.2/4 + 2/7 =
  28. 28.4/7 + 1/5 =
  29. 29.6/12 − 2/7 =
  30. 30.3/11 + 2/3 =
  31. 31.6/12 + 6/7 =
  32. 32.6/9 + 3/5 =
  33. 33.4/8 − 3/11 =
  34. 34.7/8 − 1/9 =
  35. 35.8/12 + 1/6 =
  36. 36.5/8 + 1/7 =
  37. 37.3/7 + 7/8 =
  38. 38.3/5 + 1/3 =
  39. 39.1/7 + 1/3 =
  40. 40.2/4 + 3/5 =

Answer key

  1. 13/12
  2. 27/44
  3. 3/10
  4. 4/15
  5. 5/36
  6. 3/5
  7. 101/90
  8. 121/90
  9. 1/2
  10. 31/20
  11. 23/55
  12. 17/33
  13. 19/35
  14. 51/88
  15. 7/10
  16. 2/3
  17. 1/5
  18. 5/8
  19. 2/3
  20. 1/5
  21. 3/4
  22. 5/6
  23. 2/9
  24. 14/15
  25. 13/44
  26. 17/12
  27. 11/14
  28. 27/35
  29. 3/14
  30. 31/33
  31. 19/14
  32. 19/15
  33. 5/22
  34. 55/72
  35. 5/6
  36. 43/56
  37. 73/56
  38. 14/15
  39. 10/21
  40. 11/10

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