Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 523 · 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. 1.7/19 =
2. 2.6/59 =
3. 3.9/59 =
4. 4.9/19 =
5. 5.2/19 =
6. 6.4/59 =
7. 7.9/19 =
8. 8.1/19 =
9. 9.2/39 =
10. 10.4/59 =
11. 11.9/29 =
12. 12.5/59 =
13. 13.6/59 =
14. 14.1/49 =
15. 15.1/39 =
16. 16.9/29 =
17. 17.7/49 =
18. 18.4/59 =
19. 19.9/49 =
20. 20.1/19 =
21. 21.1/29 =
22. 22.4/19 =
23. 23.5/49 =
24. 24.1/19 =
25. 25.7/19 =
26. 26.5/19 =
27. 27.9/39 =
28. 28.8/49 =
29. 29.1/29 =
30. 30.8/29 =
31. 31.5/59 =
32. 32.8/59 =
33. 33.3/19 =
34. 34.8/29 =
35. 35.6/19 =
36. 36.1/59 =
37. 37.1/59 =
38. 38.7/29 =
39. 39.3/39 =
40. 40.9/19 =

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