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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 836 · 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. 1.3/29 =
  2. 2.3/29 =
  3. 3.2/29 =
  4. 4.4/59 =
  5. 5.1/19 =
  6. 6.5/39 =
  7. 7.6/59 =
  8. 8.6/49 =
  9. 9.7/19 =
  10. 10.7/49 =
  11. 11.7/29 =
  12. 12.4/19 =
  13. 13.3/19 =
  14. 14.5/19 =
  15. 15.9/59 =
  16. 16.6/29 =
  17. 17.6/39 =
  18. 18.7/59 =
  19. 19.4/39 =
  20. 20.6/59 =
  21. 21.2/39 =
  22. 22.4/49 =
  23. 23.8/39 =
  24. 24.6/49 =
  25. 25.1/39 =
  26. 26.2/19 =
  27. 27.9/39 =
  28. 28.1/49 =
  29. 29.5/49 =
  30. 30.3/29 =
  31. 31.6/19 =
  32. 32.6/19 =
  33. 33.8/39 =
  34. 34.4/39 =
  35. 35.4/39 =
  36. 36.4/49 =
  37. 37.8/19 =
  38. 38.9/29 =
  39. 39.9/39 =
  40. 40.4/19 =

Answer key

  1. 0.103448
  2. 0.103448
  3. 0.068965
  4. 0.067796
  5. 0.052631
  6. 0.128205
  7. 0.101694
  8. 0.122448
  9. 0.368421
  10. 0.142857
  11. 0.241379
  12. 0.210526
  13. 0.157894
  14. 0.263157
  15. 0.152542
  16. 0.206896
  17. 0.153846
  18. 0.118644
  19. 0.102564
  20. 0.101694
  21. 0.051282
  22. 0.081632
  23. 0.205128
  24. 0.122448
  25. 0.025641
  26. 0.105263
  27. 0.230769
  28. 0.020408
  29. 0.102040
  30. 0.103448
  31. 0.315789
  32. 0.315789
  33. 0.205128
  34. 0.102564
  35. 0.102564
  36. 0.081632
  37. 0.421052
  38. 0.310344
  39. 0.230769
  40. 0.210526

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