Recurring Decimals Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.1/49 =
- 2.5/39 =
- 3.3/59 =
- 4.8/29 =
- 5.5/59 =
- 6.1/29 =
- 7.2/29 =
- 8.3/19 =
- 9.8/39 =
- 10.1/49 =
- 11.6/19 =
- 12.4/39 =
- 13.1/29 =
- 14.2/49 =
- 15.5/39 =
- 16.1/29 =
- 17.3/49 =
- 18.6/59 =
- 19.8/59 =
- 20.3/29 =
- 21.9/19 =
- 22.3/19 =
- 23.8/59 =
- 24.1/59 =
- 25.4/49 =
- 26.7/49 =
- 27.1/49 =
- 28.2/29 =
- 29.5/59 =
- 30.9/59 =
- 31.1/29 =
- 32.3/49 =
- 33.4/29 =
- 34.1/39 =
- 35.3/19 =
- 36.6/39 =
- 37.1/29 =
- 38.8/19 =
- 39.6/59 =
- 40.4/19 =
Answer key
- 0.020408
- 0.128205
- 0.050847
- 0.275862
- 0.084745
- 0.034482
- 0.068965
- 0.157894
- 0.205128
- 0.020408
- 0.315789
- 0.102564
- 0.034482
- 0.040816
- 0.128205
- 0.034482
- 0.061224
- 0.101694
- 0.135593
- 0.103448
- 0.473684
- 0.157894
- 0.135593
- 0.016949
- 0.081632
- 0.142857
- 0.020408
- 0.068965
- 0.084745
- 0.152542
- 0.034482
- 0.061224
- 0.137931
- 0.025641
- 0.157894
- 0.153846
- 0.034482
- 0.421052
- 0.101694
- 0.210526
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