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
- 1.4/59 =
- 2.8/19 =
- 3.5/49 =
- 4.9/49 =
- 5.4/29 =
- 6.2/19 =
- 7.1/19 =
- 8.7/49 =
- 9.7/59 =
- 10.7/59 =
- 11.9/39 =
- 12.6/49 =
- 13.6/49 =
- 14.8/39 =
- 15.8/29 =
- 16.7/29 =
- 17.5/59 =
- 18.9/59 =
- 19.8/39 =
- 20.6/49 =
- 21.4/49 =
- 22.1/39 =
- 23.2/59 =
- 24.5/49 =
- 25.6/49 =
- 26.9/59 =
- 27.6/19 =
- 28.7/19 =
- 29.4/59 =
- 30.5/19 =
- 31.3/39 =
- 32.9/29 =
- 33.9/29 =
- 34.2/29 =
- 35.8/59 =
- 36.1/19 =
- 37.4/59 =
- 38.8/19 =
- 39.5/29 =
- 40.9/19 =
Answer key
- 0.067796
- 0.421052
- 0.102040
- 0.183673
- 0.137931
- 0.105263
- 0.052631
- 0.142857
- 0.118644
- 0.118644
- 0.230769
- 0.122448
- 0.122448
- 0.205128
- 0.275862
- 0.241379
- 0.084745
- 0.152542
- 0.205128
- 0.122448
- 0.081632
- 0.025641
- 0.033898
- 0.102040
- 0.122448
- 0.152542
- 0.315789
- 0.368421
- 0.067796
- 0.263157
- 0.076923
- 0.310344
- 0.310344
- 0.068965
- 0.135593
- 0.052631
- 0.067796
- 0.421052
- 0.172413
- 0.473684
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