← Recurring decimals (1/19, 3/29…) lesson New set →

Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 519 · 40 sums
TalentJR

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. 1.6/59 =
  2. 2.5/29 =
  3. 3.1/49 =
  4. 4.4/49 =
  5. 5.5/19 =
  6. 6.7/59 =
  7. 7.4/49 =
  8. 8.6/19 =
  9. 9.5/19 =
  10. 10.9/19 =
  11. 11.9/19 =
  12. 12.6/19 =
  13. 13.4/49 =
  14. 14.1/39 =
  15. 15.1/59 =
  16. 16.9/19 =
  17. 17.7/59 =
  18. 18.5/59 =
  19. 19.2/19 =
  20. 20.9/29 =
  21. 21.6/59 =
  22. 22.9/29 =
  23. 23.8/49 =
  24. 24.8/49 =
  25. 25.4/39 =
  26. 26.3/19 =
  27. 27.2/49 =
  28. 28.1/19 =
  29. 29.3/29 =
  30. 30.1/19 =
  31. 31.1/49 =
  32. 32.2/59 =
  33. 33.6/39 =
  34. 34.8/39 =
  35. 35.3/19 =
  36. 36.9/49 =
  37. 37.2/29 =
  38. 38.1/59 =
  39. 39.1/49 =
  40. 40.9/29 =

Answer key

  1. 0.101694
  2. 0.172413
  3. 0.020408
  4. 0.081632
  5. 0.263157
  6. 0.118644
  7. 0.081632
  8. 0.315789
  9. 0.263157
  10. 0.473684
  11. 0.473684
  12. 0.315789
  13. 0.081632
  14. 0.025641
  15. 0.016949
  16. 0.473684
  17. 0.118644
  18. 0.084745
  19. 0.105263
  20. 0.310344
  21. 0.101694
  22. 0.310344
  23. 0.163265
  24. 0.163265
  25. 0.102564
  26. 0.157894
  27. 0.040816
  28. 0.052631
  29. 0.103448
  30. 0.052631
  31. 0.020408
  32. 0.033898
  33. 0.153846
  34. 0.205128
  35. 0.157894
  36. 0.183673
  37. 0.068965
  38. 0.016949
  39. 0.020408
  40. 0.310344

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths