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Adding and Subtracting Fractions Worksheet

Vedic maths trick 33: Adding and subtracting fractions · Set 898 · 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. 1.9/12 + 1/2 =
  2. 2.11/12 + 5/9 =
  3. 3.2/3 − 1/3 =
  4. 4.7/11 + 1/2 =
  5. 5.2/3 + 5/12 =
  6. 6.1/2 − 1/3 =
  7. 7.6/10 + 2/3 =
  8. 8.4/12 + 1/4 =
  9. 9.2/5 + 3/7 =
  10. 10.5/9 + 3/11 =
  11. 11.4/9 + 6/9 =
  12. 12.2/5 + 4/8 =
  13. 13.3/6 + 3/4 =
  14. 14.7/9 + 2/8 =
  15. 15.10/11 + 8/9 =
  16. 16.8/10 − 3/4 =
  17. 17.8/12 − 1/6 =
  18. 18.7/9 + 2/10 =
  19. 19.1/12 + 1/6 =
  20. 20.7/8 + 6/7 =
  21. 21.9/10 + 2/8 =
  22. 22.2/8 − 1/10 =
  23. 23.1/2 + 1/2 =
  24. 24.2/11 − 1/7 =
  25. 25.1/6 + 7/10 =
  26. 26.1/2 − 4/11 =
  27. 27.1/2 + 8/11 =
  28. 28.1/2 − 3/10 =
  29. 29.7/8 + 1/10 =
  30. 30.1/2 − 2/6 =
  31. 31.9/12 + 1/2 =
  32. 32.6/12 + 6/8 =
  33. 33.1/4 + 1/2 =
  34. 34.10/12 + 2/3 =
  35. 35.4/7 − 2/9 =
  36. 36.4/5 − 2/10 =
  37. 37.3/5 + 1/3 =
  38. 38.3/9 + 3/4 =
  39. 39.1/2 − 1/7 =
  40. 40.3/5 − 5/10 =

Answer key

  1. 5/4
  2. 53/36
  3. 1/3
  4. 25/22
  5. 13/12
  6. 1/6
  7. 19/15
  8. 7/12
  9. 29/35
  10. 82/99
  11. 10/9
  12. 9/10
  13. 5/4
  14. 37/36
  15. 178/99
  16. 1/20
  17. 1/2
  18. 44/45
  19. 1/4
  20. 97/56
  21. 23/20
  22. 3/20
  23. 1
  24. 3/77
  25. 13/15
  26. 3/22
  27. 27/22
  28. 1/5
  29. 39/40
  30. 1/6
  31. 5/4
  32. 5/4
  33. 3/4
  34. 3/2
  35. 22/63
  36. 3/5
  37. 14/15
  38. 13/12
  39. 5/14
  40. 1/10

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