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

Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 8 · 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. 1.8/29 =
  2. 2.3/59 =
  3. 3.9/49 =
  4. 4.5/59 =
  5. 5.4/39 =
  6. 6.4/39 =
  7. 7.7/39 =
  8. 8.4/19 =
  9. 9.9/19 =
  10. 10.3/59 =
  11. 11.1/19 =
  12. 12.7/29 =
  13. 13.8/19 =
  14. 14.4/39 =
  15. 15.5/49 =
  16. 16.1/39 =
  17. 17.5/59 =
  18. 18.3/19 =
  19. 19.1/19 =
  20. 20.3/29 =
  21. 21.7/49 =
  22. 22.7/19 =
  23. 23.4/39 =
  24. 24.3/59 =
  25. 25.9/39 =
  26. 26.2/39 =
  27. 27.4/39 =
  28. 28.3/19 =
  29. 29.9/59 =
  30. 30.8/29 =
  31. 31.6/39 =
  32. 32.8/19 =
  33. 33.3/49 =
  34. 34.9/39 =
  35. 35.3/19 =
  36. 36.1/19 =
  37. 37.8/59 =
  38. 38.8/19 =
  39. 39.1/49 =
  40. 40.6/29 =

Answer key

  1. 0.275862
  2. 0.050847
  3. 0.183673
  4. 0.084745
  5. 0.102564
  6. 0.102564
  7. 0.179487
  8. 0.210526
  9. 0.473684
  10. 0.050847
  11. 0.052631
  12. 0.241379
  13. 0.421052
  14. 0.102564
  15. 0.102040
  16. 0.025641
  17. 0.084745
  18. 0.157894
  19. 0.052631
  20. 0.103448
  21. 0.142857
  22. 0.368421
  23. 0.102564
  24. 0.050847
  25. 0.230769
  26. 0.051282
  27. 0.102564
  28. 0.157894
  29. 0.152542
  30. 0.275862
  31. 0.153846
  32. 0.421052
  33. 0.061224
  34. 0.230769
  35. 0.157894
  36. 0.052631
  37. 0.135593
  38. 0.421052
  39. 0.020408
  40. 0.206896

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