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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 118 · 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. 2.8/39 =
  3. 3.6/39 =
  4. 4.3/29 =
  5. 5.9/19 =
  6. 6.9/19 =
  7. 7.1/19 =
  8. 8.3/39 =
  9. 9.5/19 =
  10. 10.6/39 =
  11. 11.5/59 =
  12. 12.4/19 =
  13. 13.4/19 =
  14. 14.9/39 =
  15. 15.5/59 =
  16. 16.3/49 =
  17. 17.6/59 =
  18. 18.7/39 =
  19. 19.4/19 =
  20. 20.1/29 =
  21. 21.2/19 =
  22. 22.9/59 =
  23. 23.8/49 =
  24. 24.9/39 =
  25. 25.7/29 =
  26. 26.1/59 =
  27. 27.2/49 =
  28. 28.9/19 =
  29. 29.1/39 =
  30. 30.6/49 =
  31. 31.1/29 =
  32. 32.8/59 =
  33. 33.8/29 =
  34. 34.6/59 =
  35. 35.7/19 =
  36. 36.5/49 =
  37. 37.9/39 =
  38. 38.1/49 =
  39. 39.7/39 =
  40. 40.8/39 =

Answer key

  1. 0.034482
  2. 0.205128
  3. 0.153846
  4. 0.103448
  5. 0.473684
  6. 0.473684
  7. 0.052631
  8. 0.076923
  9. 0.263157
  10. 0.153846
  11. 0.084745
  12. 0.210526
  13. 0.210526
  14. 0.230769
  15. 0.084745
  16. 0.061224
  17. 0.101694
  18. 0.179487
  19. 0.210526
  20. 0.034482
  21. 0.105263
  22. 0.152542
  23. 0.163265
  24. 0.230769
  25. 0.241379
  26. 0.016949
  27. 0.040816
  28. 0.473684
  29. 0.025641
  30. 0.122448
  31. 0.034482
  32. 0.135593
  33. 0.275862
  34. 0.101694
  35. 0.368421
  36. 0.102040
  37. 0.230769
  38. 0.020408
  39. 0.179487
  40. 0.205128

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