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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 554 · 40 sums
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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. 1.6/49 =
  2. 2.8/19 =
  3. 3.3/39 =
  4. 4.3/59 =
  5. 5.6/29 =
  6. 6.6/59 =
  7. 7.3/29 =
  8. 8.8/29 =
  9. 9.6/49 =
  10. 10.3/39 =
  11. 11.2/29 =
  12. 12.6/59 =
  13. 13.3/39 =
  14. 14.4/39 =
  15. 15.8/49 =
  16. 16.6/39 =
  17. 17.1/39 =
  18. 18.1/49 =
  19. 19.8/19 =
  20. 20.6/29 =
  21. 21.9/59 =
  22. 22.7/29 =
  23. 23.1/49 =
  24. 24.3/49 =
  25. 25.6/19 =
  26. 26.8/19 =
  27. 27.1/49 =
  28. 28.5/29 =
  29. 29.3/39 =
  30. 30.8/19 =
  31. 31.7/39 =
  32. 32.2/19 =
  33. 33.7/19 =
  34. 34.2/59 =
  35. 35.8/19 =
  36. 36.3/29 =
  37. 37.1/59 =
  38. 38.7/29 =
  39. 39.3/29 =
  40. 40.8/29 =

Answer key

  1. 0.122448
  2. 0.421052
  3. 0.076923
  4. 0.050847
  5. 0.206896
  6. 0.101694
  7. 0.103448
  8. 0.275862
  9. 0.122448
  10. 0.076923
  11. 0.068965
  12. 0.101694
  13. 0.076923
  14. 0.102564
  15. 0.163265
  16. 0.153846
  17. 0.025641
  18. 0.020408
  19. 0.421052
  20. 0.206896
  21. 0.152542
  22. 0.241379
  23. 0.020408
  24. 0.061224
  25. 0.315789
  26. 0.421052
  27. 0.020408
  28. 0.172413
  29. 0.076923
  30. 0.421052
  31. 0.179487
  32. 0.105263
  33. 0.368421
  34. 0.033898
  35. 0.421052
  36. 0.103448
  37. 0.016949
  38. 0.241379
  39. 0.103448
  40. 0.275862

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