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

Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 169 · 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. 1.7/59 =
  2. 2.3/59 =
  3. 3.3/29 =
  4. 4.3/39 =
  5. 5.7/19 =
  6. 6.5/19 =
  7. 7.6/39 =
  8. 8.6/29 =
  9. 9.5/49 =
  10. 10.1/39 =
  11. 11.7/49 =
  12. 12.4/39 =
  13. 13.7/59 =
  14. 14.6/49 =
  15. 15.4/19 =
  16. 16.6/59 =
  17. 17.3/39 =
  18. 18.2/39 =
  19. 19.2/29 =
  20. 20.1/49 =
  21. 21.8/19 =
  22. 22.1/39 =
  23. 23.9/29 =
  24. 24.1/29 =
  25. 25.2/49 =
  26. 26.8/19 =
  27. 27.2/19 =
  28. 28.5/19 =
  29. 29.4/29 =
  30. 30.1/29 =
  31. 31.2/39 =
  32. 32.1/29 =
  33. 33.4/29 =
  34. 34.2/19 =
  35. 35.6/29 =
  36. 36.6/19 =
  37. 37.7/29 =
  38. 38.7/39 =
  39. 39.8/29 =
  40. 40.2/19 =

Answer key

  1. 0.118644
  2. 0.050847
  3. 0.103448
  4. 0.076923
  5. 0.368421
  6. 0.263157
  7. 0.153846
  8. 0.206896
  9. 0.102040
  10. 0.025641
  11. 0.142857
  12. 0.102564
  13. 0.118644
  14. 0.122448
  15. 0.210526
  16. 0.101694
  17. 0.076923
  18. 0.051282
  19. 0.068965
  20. 0.020408
  21. 0.421052
  22. 0.025641
  23. 0.310344
  24. 0.034482
  25. 0.040816
  26. 0.421052
  27. 0.105263
  28. 0.263157
  29. 0.137931
  30. 0.034482
  31. 0.051282
  32. 0.034482
  33. 0.137931
  34. 0.105263
  35. 0.206896
  36. 0.315789
  37. 0.241379
  38. 0.179487
  39. 0.275862
  40. 0.105263

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