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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 808 · 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. 1.4/49 =
  2. 2.7/39 =
  3. 3.2/19 =
  4. 4.7/59 =
  5. 5.2/19 =
  6. 6.2/39 =
  7. 7.8/19 =
  8. 8.3/59 =
  9. 9.5/29 =
  10. 10.8/29 =
  11. 11.9/19 =
  12. 12.2/19 =
  13. 13.5/29 =
  14. 14.9/59 =
  15. 15.2/19 =
  16. 16.8/49 =
  17. 17.6/49 =
  18. 18.3/49 =
  19. 19.3/49 =
  20. 20.9/29 =
  21. 21.9/39 =
  22. 22.1/59 =
  23. 23.6/39 =
  24. 24.4/39 =
  25. 25.1/49 =
  26. 26.1/49 =
  27. 27.1/59 =
  28. 28.4/39 =
  29. 29.8/59 =
  30. 30.1/49 =
  31. 31.7/39 =
  32. 32.7/19 =
  33. 33.3/59 =
  34. 34.6/59 =
  35. 35.4/39 =
  36. 36.8/39 =
  37. 37.1/59 =
  38. 38.6/29 =
  39. 39.9/19 =
  40. 40.4/29 =

Answer key

  1. 0.081632
  2. 0.179487
  3. 0.105263
  4. 0.118644
  5. 0.105263
  6. 0.051282
  7. 0.421052
  8. 0.050847
  9. 0.172413
  10. 0.275862
  11. 0.473684
  12. 0.105263
  13. 0.172413
  14. 0.152542
  15. 0.105263
  16. 0.163265
  17. 0.122448
  18. 0.061224
  19. 0.061224
  20. 0.310344
  21. 0.230769
  22. 0.016949
  23. 0.153846
  24. 0.102564
  25. 0.020408
  26. 0.020408
  27. 0.016949
  28. 0.102564
  29. 0.135593
  30. 0.020408
  31. 0.179487
  32. 0.368421
  33. 0.050847
  34. 0.101694
  35. 0.102564
  36. 0.205128
  37. 0.016949
  38. 0.206896
  39. 0.473684
  40. 0.137931

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