Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 740 · 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. 1.7/39 =
2. 2.9/39 =
3. 3.6/19 =
4. 4.2/49 =
5. 5.1/19 =
6. 6.2/49 =
7. 7.4/19 =
8. 8.5/49 =
9. 9.6/49 =
10. 10.3/49 =
11. 11.1/29 =
12. 12.2/19 =
13. 13.6/49 =
14. 14.2/19 =
15. 15.8/29 =
16. 16.1/39 =
17. 17.5/19 =
18. 18.2/49 =
19. 19.3/59 =
20. 20.1/29 =
21. 21.9/59 =
22. 22.1/19 =
23. 23.9/59 =
24. 24.9/19 =
25. 25.7/19 =
26. 26.1/39 =
27. 27.7/39 =
28. 28.1/29 =
29. 29.2/19 =
30. 30.1/29 =
31. 31.7/19 =
32. 32.2/29 =
33. 33.9/59 =
34. 34.5/19 =
35. 35.5/29 =
36. 36.2/39 =
37. 37.3/49 =
38. 38.4/59 =
39. 39.4/49 =
40. 40.8/19 =

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