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
- 1.6/59 =
- 2.4/49 =
- 3.3/19 =
- 4.1/39 =
- 5.4/59 =
- 6.9/39 =
- 7.9/29 =
- 8.2/59 =
- 9.6/59 =
- 10.9/49 =
- 11.3/59 =
- 12.2/29 =
- 13.2/59 =
- 14.5/49 =
- 15.4/59 =
- 16.7/49 =
- 17.1/29 =
- 18.3/29 =
- 19.7/29 =
- 20.4/49 =
- 21.8/59 =
- 22.3/29 =
- 23.1/29 =
- 24.7/29 =
- 25.2/29 =
- 26.7/49 =
- 27.4/29 =
- 28.1/49 =
- 29.2/59 =
- 30.5/19 =
- 31.5/49 =
- 32.9/59 =
- 33.9/39 =
- 34.9/49 =
- 35.3/49 =
- 36.8/39 =
- 37.1/59 =
- 38.2/39 =
- 39.8/29 =
- 40.7/49 =
Answer key
- 0.101694
- 0.081632
- 0.157894
- 0.025641
- 0.067796
- 0.230769
- 0.310344
- 0.033898
- 0.101694
- 0.183673
- 0.050847
- 0.068965
- 0.033898
- 0.102040
- 0.067796
- 0.142857
- 0.034482
- 0.103448
- 0.241379
- 0.081632
- 0.135593
- 0.103448
- 0.034482
- 0.241379
- 0.068965
- 0.142857
- 0.137931
- 0.020408
- 0.033898
- 0.263157
- 0.102040
- 0.152542
- 0.230769
- 0.183673
- 0.061224
- 0.205128
- 0.016949
- 0.051282
- 0.275862
- 0.142857
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