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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 575 · 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. 1.3/11 + 5/9 =
  2. 2.2/4 + 6/11 =
  3. 3.5/10 + 3/4 =
  4. 4.11/12 − 1/3 =
  5. 5.5/9 − 1/6 =
  6. 6.3/5 − 4/8 =
  7. 7.2/6 + 1/12 =
  8. 8.1/2 − 1/12 =
  9. 9.4/11 + 2/6 =
  10. 10.3/5 + 3/6 =
  11. 11.1/4 − 1/6 =
  12. 12.2/9 + 5/8 =
  13. 13.4/7 + 1/3 =
  14. 14.4/8 − 1/8 =
  15. 15.5/11 + 5/9 =
  16. 16.7/11 − 2/4 =
  17. 17.9/11 + 2/10 =
  18. 18.3/5 − 5/11 =
  19. 19.6/12 − 3/7 =
  20. 20.1/9 + 1/5 =
  21. 21.1/3 + 2/3 =
  22. 22.1/2 + 1/5 =
  23. 23.3/9 + 6/7 =
  24. 24.6/9 − 4/9 =
  25. 25.7/10 + 1/4 =
  26. 26.1/4 − 1/6 =
  27. 27.9/11 − 7/12 =
  28. 28.2/10 + 2/10 =
  29. 29.4/5 − 3/4 =
  30. 30.3/10 + 3/5 =
  31. 31.1/2 + 1/2 =
  32. 32.4/10 + 10/12 =
  33. 33.3/5 + 3/4 =
  34. 34.3/4 − 3/7 =
  35. 35.4/6 + 1/4 =
  36. 36.5/8 − 1/5 =
  37. 37.3/4 − 4/6 =
  38. 38.4/6 + 9/12 =
  39. 39.1/4 + 1/2 =
  40. 40.3/5 + 1/2 =

Answer key

  1. 82/99
  2. 23/22
  3. 5/4
  4. 7/12
  5. 7/18
  6. 1/10
  7. 5/12
  8. 5/12
  9. 23/33
  10. 11/10
  11. 1/12
  12. 61/72
  13. 19/21
  14. 3/8
  15. 100/99
  16. 3/22
  17. 56/55
  18. 8/55
  19. 1/14
  20. 14/45
  21. 1
  22. 7/10
  23. 25/21
  24. 2/9
  25. 19/20
  26. 1/12
  27. 31/132
  28. 2/5
  29. 1/20
  30. 9/10
  31. 1
  32. 37/30
  33. 27/20
  34. 9/28
  35. 11/12
  36. 17/40
  37. 1/12
  38. 17/12
  39. 3/4
  40. 11/10

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