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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 570 · 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. 1.10/11 + 7/9 =
  2. 2.5/10 + 5/6 =
  3. 3.6/11 − 2/8 =
  4. 4.6/11 + 5/12 =
  5. 5.2/3 + 3/11 =
  6. 6.3/4 + 2/3 =
  7. 7.2/4 + 2/4 =
  8. 8.3/5 − 1/3 =
  9. 9.1/3 − 1/9 =
  10. 10.10/11 − 2/12 =
  11. 11.2/10 − 1/8 =
  12. 12.6/7 − 1/8 =
  13. 13.1/11 + 1/3 =
  14. 14.6/11 + 6/10 =
  15. 15.1/3 + 1/5 =
  16. 16.3/5 − 1/3 =
  17. 17.3/4 + 3/4 =
  18. 18.6/7 − 4/7 =
  19. 19.1/2 + 2/7 =
  20. 20.8/12 + 1/2 =
  21. 21.1/3 + 8/12 =
  22. 22.7/10 + 1/7 =
  23. 23.1/4 + 1/4 =
  24. 24.7/10 − 1/7 =
  25. 25.5/11 + 1/3 =
  26. 26.3/5 + 2/4 =
  27. 27.5/9 + 5/7 =
  28. 28.4/5 + 2/6 =
  29. 29.2/3 + 9/10 =
  30. 30.1/2 − 4/10 =
  31. 31.8/9 − 1/6 =
  32. 32.2/10 + 1/5 =
  33. 33.6/8 − 1/4 =
  34. 34.2/5 + 2/6 =
  35. 35.5/8 − 1/10 =
  36. 36.1/2 + 6/11 =
  37. 37.1/2 + 1/2 =
  38. 38.1/3 + 7/12 =
  39. 39.1/2 + 4/9 =
  40. 40.2/5 + 4/6 =

Answer key

  1. 167/99
  2. 4/3
  3. 13/44
  4. 127/132
  5. 31/33
  6. 17/12
  7. 1
  8. 4/15
  9. 2/9
  10. 49/66
  11. 3/40
  12. 41/56
  13. 14/33
  14. 63/55
  15. 8/15
  16. 4/15
  17. 3/2
  18. 2/7
  19. 11/14
  20. 7/6
  21. 1
  22. 59/70
  23. 1/2
  24. 39/70
  25. 26/33
  26. 11/10
  27. 80/63
  28. 17/15
  29. 47/30
  30. 1/10
  31. 13/18
  32. 2/5
  33. 1/2
  34. 11/15
  35. 21/40
  36. 23/22
  37. 1
  38. 11/12
  39. 17/18
  40. 16/15

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