Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 117 · 40 sums

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.

1. 1.9/39 =
2. 2.4/49 =
3. 3.3/49 =
4. 4.7/19 =
5. 5.4/19 =
6. 6.9/59 =
7. 7.4/59 =
8. 8.7/59 =
9. 9.4/59 =
10. 10.4/19 =
11. 11.3/19 =
12. 12.8/39 =
13. 13.2/39 =
14. 14.9/39 =
15. 15.8/59 =
16. 16.2/19 =
17. 17.9/39 =
18. 18.3/59 =
19. 19.3/29 =
20. 20.2/19 =
21. 21.6/19 =
22. 22.4/39 =
23. 23.6/19 =
24. 24.4/39 =
25. 25.2/39 =
26. 26.2/59 =
27. 27.7/39 =
28. 28.5/19 =
29. 29.7/49 =
30. 30.5/29 =
31. 31.7/29 =
32. 32.3/39 =
33. 33.5/29 =
34. 34.7/59 =
35. 35.7/19 =
36. 36.1/19 =
37. 37.1/49 =
38. 38.2/59 =
39. 39.7/19 =
40. 40.4/29 =

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