Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 369 · 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. 1.4/19 =
2. 2.8/59 =
3. 3.3/39 =
4. 4.3/49 =
5. 5.7/59 =
6. 6.7/29 =
7. 7.3/19 =
8. 8.8/39 =
9. 9.2/29 =
10. 10.6/59 =
11. 11.1/49 =
12. 12.2/29 =
13. 13.5/49 =
14. 14.5/39 =
15. 15.9/39 =
16. 16.7/29 =
17. 17.2/59 =
18. 18.6/39 =
19. 19.8/29 =
20. 20.4/49 =
21. 21.8/29 =
22. 22.6/49 =
23. 23.5/39 =
24. 24.9/59 =
25. 25.4/59 =
26. 26.3/49 =
27. 27.2/49 =
28. 28.9/49 =
29. 29.1/49 =
30. 30.3/29 =
31. 31.3/39 =
32. 32.6/49 =
33. 33.6/59 =
34. 34.5/49 =
35. 35.3/59 =
36. 36.9/39 =
37. 37.8/19 =
38. 38.2/59 =
39. 39.5/39 =
40. 40.6/29 =

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