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

Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 70 · 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. 1.9/39 =
  2. 2.9/49 =
  3. 3.7/59 =
  4. 4.4/39 =
  5. 5.4/59 =
  6. 6.8/59 =
  7. 7.1/49 =
  8. 8.5/39 =
  9. 9.8/49 =
  10. 10.1/39 =
  11. 11.6/19 =
  12. 12.4/59 =
  13. 13.7/49 =
  14. 14.4/19 =
  15. 15.3/29 =
  16. 16.7/19 =
  17. 17.1/19 =
  18. 18.6/59 =
  19. 19.7/49 =
  20. 20.2/19 =
  21. 21.6/19 =
  22. 22.8/39 =
  23. 23.8/59 =
  24. 24.3/19 =
  25. 25.3/29 =
  26. 26.1/19 =
  27. 27.2/39 =
  28. 28.2/49 =
  29. 29.3/59 =
  30. 30.2/19 =
  31. 31.1/19 =
  32. 32.4/39 =
  33. 33.1/59 =
  34. 34.6/19 =
  35. 35.4/19 =
  36. 36.7/29 =
  37. 37.6/19 =
  38. 38.4/19 =
  39. 39.2/39 =
  40. 40.8/29 =

Answer key

  1. 0.230769
  2. 0.183673
  3. 0.118644
  4. 0.102564
  5. 0.067796
  6. 0.135593
  7. 0.020408
  8. 0.128205
  9. 0.163265
  10. 0.025641
  11. 0.315789
  12. 0.067796
  13. 0.142857
  14. 0.210526
  15. 0.103448
  16. 0.368421
  17. 0.052631
  18. 0.101694
  19. 0.142857
  20. 0.105263
  21. 0.315789
  22. 0.205128
  23. 0.135593
  24. 0.157894
  25. 0.103448
  26. 0.052631
  27. 0.051282
  28. 0.040816
  29. 0.050847
  30. 0.105263
  31. 0.052631
  32. 0.102564
  33. 0.016949
  34. 0.315789
  35. 0.210526
  36. 0.241379
  37. 0.315789
  38. 0.210526
  39. 0.051282
  40. 0.275862

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