Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 505 · 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. 1.6/19 =
2. 2.8/49 =
3. 3.6/19 =
4. 4.2/29 =
5. 5.8/29 =
6. 6.9/49 =
7. 7.6/19 =
8. 8.3/19 =
9. 9.5/39 =
10. 10.7/19 =
11. 11.5/59 =
12. 12.4/19 =
13. 13.2/49 =
14. 14.8/49 =
15. 15.7/19 =
16. 16.4/49 =
17. 17.5/59 =
18. 18.1/29 =
19. 19.5/19 =
20. 20.7/59 =
21. 21.4/29 =
22. 22.9/49 =
23. 23.2/59 =
24. 24.7/19 =
25. 25.4/39 =
26. 26.1/49 =
27. 27.2/39 =
28. 28.9/49 =
29. 29.8/59 =
30. 30.6/29 =
31. 31.7/59 =
32. 32.1/29 =
33. 33.2/29 =
34. 34.7/59 =
35. 35.9/59 =
36. 36.4/19 =
37. 37.2/19 =
38. 38.9/49 =
39. 39.3/49 =
40. 40.3/29 =

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