Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 160 · 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. 1.8/19 =
2. 2.3/39 =
3. 3.4/19 =
4. 4.1/59 =
5. 5.7/59 =
6. 6.1/19 =
7. 7.1/49 =
8. 8.9/59 =
9. 9.2/29 =
10. 10.6/19 =
11. 11.4/59 =
12. 12.1/59 =
13. 13.2/39 =
14. 14.5/49 =
15. 15.2/59 =
16. 16.9/49 =
17. 17.3/39 =
18. 18.2/29 =
19. 19.8/59 =
20. 20.3/59 =
21. 21.9/59 =
22. 22.7/29 =
23. 23.7/39 =
24. 24.1/39 =
25. 25.8/49 =
26. 26.7/49 =
27. 27.4/19 =
28. 28.7/59 =
29. 29.3/49 =
30. 30.8/39 =
31. 31.1/39 =
32. 32.2/29 =
33. 33.1/39 =
34. 34.6/19 =
35. 35.3/49 =
36. 36.1/19 =
37. 37.1/49 =
38. 38.2/19 =
39. 39.8/39 =
40. 40.4/59 =

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