Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 698 · 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. 1.6/59 =
2. 2.1/19 =
3. 3.5/29 =
4. 4.1/49 =
5. 5.2/19 =
6. 6.7/49 =
7. 7.2/39 =
8. 8.8/49 =
9. 9.3/59 =
10. 10.1/39 =
11. 11.4/49 =
12. 12.4/59 =
13. 13.9/29 =
14. 14.1/39 =
15. 15.6/29 =
16. 16.9/59 =
17. 17.1/59 =
18. 18.7/29 =
19. 19.8/49 =
20. 20.5/59 =
21. 21.8/19 =
22. 22.5/59 =
23. 23.3/59 =
24. 24.5/19 =
25. 25.2/39 =
26. 26.6/19 =
27. 27.3/59 =
28. 28.6/39 =
29. 29.4/29 =
30. 30.9/39 =
31. 31.3/29 =
32. 32.8/39 =
33. 33.3/29 =
34. 34.7/49 =
35. 35.1/39 =
36. 36.6/29 =
37. 37.3/49 =
38. 38.2/29 =
39. 39.5/19 =
40. 40.7/49 =

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