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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 608 · 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. 2.8/59 =
  3. 3.4/49 =
  4. 4.4/59 =
  5. 5.8/29 =
  6. 6.4/59 =
  7. 7.4/29 =
  8. 8.3/29 =
  9. 9.6/19 =
  10. 10.6/19 =
  11. 11.5/49 =
  12. 12.5/49 =
  13. 13.8/39 =
  14. 14.8/39 =
  15. 15.9/49 =
  16. 16.7/29 =
  17. 17.3/29 =
  18. 18.5/19 =
  19. 19.5/19 =
  20. 20.1/39 =
  21. 21.8/19 =
  22. 22.2/19 =
  23. 23.7/19 =
  24. 24.7/59 =
  25. 25.5/49 =
  26. 26.7/39 =
  27. 27.4/29 =
  28. 28.6/39 =
  29. 29.6/49 =
  30. 30.5/49 =
  31. 31.1/19 =
  32. 32.4/29 =
  33. 33.3/49 =
  34. 34.9/59 =
  35. 35.3/39 =
  36. 36.9/59 =
  37. 37.9/19 =
  38. 38.9/59 =
  39. 39.2/19 =
  40. 40.4/49 =

Answer key

  1. 0.421052
  2. 0.135593
  3. 0.081632
  4. 0.067796
  5. 0.275862
  6. 0.067796
  7. 0.137931
  8. 0.103448
  9. 0.315789
  10. 0.315789
  11. 0.102040
  12. 0.102040
  13. 0.205128
  14. 0.205128
  15. 0.183673
  16. 0.241379
  17. 0.103448
  18. 0.263157
  19. 0.263157
  20. 0.025641
  21. 0.421052
  22. 0.105263
  23. 0.368421
  24. 0.118644
  25. 0.102040
  26. 0.179487
  27. 0.137931
  28. 0.153846
  29. 0.122448
  30. 0.102040
  31. 0.052631
  32. 0.137931
  33. 0.061224
  34. 0.152542
  35. 0.076923
  36. 0.152542
  37. 0.473684
  38. 0.152542
  39. 0.105263
  40. 0.081632

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