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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 129 · 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. 1.1/29 =
  2. 2.3/39 =
  3. 3.2/19 =
  4. 4.3/19 =
  5. 5.1/59 =
  6. 6.2/39 =
  7. 7.5/49 =
  8. 8.5/29 =
  9. 9.3/29 =
  10. 10.3/59 =
  11. 11.5/19 =
  12. 12.9/29 =
  13. 13.5/19 =
  14. 14.1/29 =
  15. 15.7/29 =
  16. 16.2/39 =
  17. 17.9/19 =
  18. 18.8/39 =
  19. 19.6/49 =
  20. 20.9/59 =
  21. 21.6/19 =
  22. 22.2/29 =
  23. 23.1/19 =
  24. 24.5/39 =
  25. 25.2/49 =
  26. 26.3/29 =
  27. 27.1/29 =
  28. 28.2/59 =
  29. 29.8/59 =
  30. 30.8/29 =
  31. 31.5/19 =
  32. 32.2/19 =
  33. 33.6/19 =
  34. 34.9/59 =
  35. 35.3/29 =
  36. 36.2/19 =
  37. 37.9/59 =
  38. 38.6/39 =
  39. 39.5/39 =
  40. 40.6/49 =

Answer key

  1. 0.034482
  2. 0.076923
  3. 0.105263
  4. 0.157894
  5. 0.016949
  6. 0.051282
  7. 0.102040
  8. 0.172413
  9. 0.103448
  10. 0.050847
  11. 0.263157
  12. 0.310344
  13. 0.263157
  14. 0.034482
  15. 0.241379
  16. 0.051282
  17. 0.473684
  18. 0.205128
  19. 0.122448
  20. 0.152542
  21. 0.315789
  22. 0.068965
  23. 0.052631
  24. 0.128205
  25. 0.040816
  26. 0.103448
  27. 0.034482
  28. 0.033898
  29. 0.135593
  30. 0.275862
  31. 0.263157
  32. 0.105263
  33. 0.315789
  34. 0.152542
  35. 0.103448
  36. 0.105263
  37. 0.152542
  38. 0.153846
  39. 0.128205
  40. 0.122448

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