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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 606 · 40 sums
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The trick (Ekadhikena Purvena): Denominator ending in 9: find the Ekadhika — one more than the digits before the 9 (19 → 2, 29 → 3, 39 → 4, 59 → 6). Start: the top number ÷ Ekadhika gives the first decimal digit and a remainder. Every next digit: put the remainder in front of the last digit and divide by the Ekadhika again.

NameDateTime takenScore ___ / 40
  1. 1.8/19 =
  2. 2.7/29 =
  3. 3.2/29 =
  4. 4.2/39 =
  5. 5.1/39 =
  6. 6.2/29 =
  7. 7.7/49 =
  8. 8.4/29 =
  9. 9.2/39 =
  10. 10.4/59 =
  11. 11.8/49 =
  12. 12.2/19 =
  13. 13.1/59 =
  14. 14.7/19 =
  15. 15.2/29 =
  16. 16.1/39 =
  17. 17.1/49 =
  18. 18.2/19 =
  19. 19.8/19 =
  20. 20.3/59 =
  21. 21.9/19 =
  22. 22.9/49 =
  23. 23.1/49 =
  24. 24.6/29 =
  25. 25.3/49 =
  26. 26.4/29 =
  27. 27.4/29 =
  28. 28.3/39 =
  29. 29.5/49 =
  30. 30.7/29 =
  31. 31.4/39 =
  32. 32.5/49 =
  33. 33.9/19 =
  34. 34.3/29 =
  35. 35.1/59 =
  36. 36.1/59 =
  37. 37.1/29 =
  38. 38.6/19 =
  39. 39.8/19 =
  40. 40.8/29 =

Answer key

  1. 0.421052
  2. 0.241379
  3. 0.068965
  4. 0.051282
  5. 0.025641
  6. 0.068965
  7. 0.142857
  8. 0.137931
  9. 0.051282
  10. 0.067796
  11. 0.163265
  12. 0.105263
  13. 0.016949
  14. 0.368421
  15. 0.068965
  16. 0.025641
  17. 0.020408
  18. 0.105263
  19. 0.421052
  20. 0.050847
  21. 0.473684
  22. 0.183673
  23. 0.020408
  24. 0.206896
  25. 0.061224
  26. 0.137931
  27. 0.137931
  28. 0.076923
  29. 0.102040
  30. 0.241379
  31. 0.102564
  32. 0.102040
  33. 0.473684
  34. 0.103448
  35. 0.016949
  36. 0.016949
  37. 0.034482
  38. 0.315789
  39. 0.421052
  40. 0.275862

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