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
- 1.8/19 =
- 2.7/39 =
- 3.4/59 =
- 4.7/49 =
- 5.2/29 =
- 6.4/49 =
- 7.5/19 =
- 8.1/39 =
- 9.5/59 =
- 10.7/39 =
- 11.5/19 =
- 12.5/59 =
- 13.5/49 =
- 14.4/49 =
- 15.7/49 =
- 16.1/19 =
- 17.3/29 =
- 18.4/39 =
- 19.5/19 =
- 20.6/59 =
- 21.7/59 =
- 22.5/59 =
- 23.4/39 =
- 24.1/29 =
- 25.2/39 =
- 26.8/19 =
- 27.8/19 =
- 28.2/39 =
- 29.2/49 =
- 30.7/19 =
- 31.4/39 =
- 32.4/59 =
- 33.2/19 =
- 34.7/19 =
- 35.8/29 =
- 36.2/29 =
- 37.7/19 =
- 38.2/49 =
- 39.1/19 =
- 40.9/19 =
Answer key
- 0.421052
- 0.179487
- 0.067796
- 0.142857
- 0.068965
- 0.081632
- 0.263157
- 0.025641
- 0.084745
- 0.179487
- 0.263157
- 0.084745
- 0.102040
- 0.081632
- 0.142857
- 0.052631
- 0.103448
- 0.102564
- 0.263157
- 0.101694
- 0.118644
- 0.084745
- 0.102564
- 0.034482
- 0.051282
- 0.421052
- 0.421052
- 0.051282
- 0.040816
- 0.368421
- 0.102564
- 0.067796
- 0.105263
- 0.368421
- 0.275862
- 0.068965
- 0.368421
- 0.040816
- 0.052631
- 0.473684
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