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

Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 814 · 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. 1.1/59 =
  2. 2.2/49 =
  3. 3.3/39 =
  4. 4.1/49 =
  5. 5.9/49 =
  6. 6.2/39 =
  7. 7.9/19 =
  8. 8.5/39 =
  9. 9.7/29 =
  10. 10.9/49 =
  11. 11.2/29 =
  12. 12.4/29 =
  13. 13.2/29 =
  14. 14.2/59 =
  15. 15.3/59 =
  16. 16.1/29 =
  17. 17.4/29 =
  18. 18.3/19 =
  19. 19.2/29 =
  20. 20.1/39 =
  21. 21.3/29 =
  22. 22.7/49 =
  23. 23.3/59 =
  24. 24.3/39 =
  25. 25.7/39 =
  26. 26.2/39 =
  27. 27.2/39 =
  28. 28.4/19 =
  29. 29.1/39 =
  30. 30.7/59 =
  31. 31.3/19 =
  32. 32.9/29 =
  33. 33.8/49 =
  34. 34.1/19 =
  35. 35.6/29 =
  36. 36.8/39 =
  37. 37.2/29 =
  38. 38.7/19 =
  39. 39.2/49 =
  40. 40.6/19 =

Answer key

  1. 0.016949
  2. 0.040816
  3. 0.076923
  4. 0.020408
  5. 0.183673
  6. 0.051282
  7. 0.473684
  8. 0.128205
  9. 0.241379
  10. 0.183673
  11. 0.068965
  12. 0.137931
  13. 0.068965
  14. 0.033898
  15. 0.050847
  16. 0.034482
  17. 0.137931
  18. 0.157894
  19. 0.068965
  20. 0.025641
  21. 0.103448
  22. 0.142857
  23. 0.050847
  24. 0.076923
  25. 0.179487
  26. 0.051282
  27. 0.051282
  28. 0.210526
  29. 0.025641
  30. 0.118644
  31. 0.157894
  32. 0.310344
  33. 0.163265
  34. 0.052631
  35. 0.206896
  36. 0.205128
  37. 0.068965
  38. 0.368421
  39. 0.040816
  40. 0.315789

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