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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 57 · 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. 1.6/39 =
  2. 2.3/29 =
  3. 3.6/59 =
  4. 4.6/59 =
  5. 5.2/49 =
  6. 6.6/59 =
  7. 7.2/49 =
  8. 8.5/49 =
  9. 9.9/19 =
  10. 10.8/19 =
  11. 11.5/39 =
  12. 12.3/59 =
  13. 13.9/29 =
  14. 14.6/19 =
  15. 15.6/59 =
  16. 16.2/19 =
  17. 17.3/39 =
  18. 18.8/19 =
  19. 19.1/29 =
  20. 20.3/49 =
  21. 21.3/39 =
  22. 22.9/39 =
  23. 23.2/59 =
  24. 24.8/19 =
  25. 25.6/29 =
  26. 26.5/29 =
  27. 27.1/39 =
  28. 28.9/59 =
  29. 29.6/49 =
  30. 30.9/19 =
  31. 31.2/49 =
  32. 32.6/29 =
  33. 33.7/29 =
  34. 34.3/49 =
  35. 35.2/49 =
  36. 36.1/29 =
  37. 37.6/29 =
  38. 38.5/39 =
  39. 39.6/39 =
  40. 40.8/49 =

Answer key

  1. 0.153846
  2. 0.103448
  3. 0.101694
  4. 0.101694
  5. 0.040816
  6. 0.101694
  7. 0.040816
  8. 0.102040
  9. 0.473684
  10. 0.421052
  11. 0.128205
  12. 0.050847
  13. 0.310344
  14. 0.315789
  15. 0.101694
  16. 0.105263
  17. 0.076923
  18. 0.421052
  19. 0.034482
  20. 0.061224
  21. 0.076923
  22. 0.230769
  23. 0.033898
  24. 0.421052
  25. 0.206896
  26. 0.172413
  27. 0.025641
  28. 0.152542
  29. 0.122448
  30. 0.473684
  31. 0.040816
  32. 0.206896
  33. 0.241379
  34. 0.061224
  35. 0.040816
  36. 0.034482
  37. 0.206896
  38. 0.128205
  39. 0.153846
  40. 0.163265

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