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
- 1.1/59 =
- 2.2/49 =
- 3.3/39 =
- 4.1/49 =
- 5.9/49 =
- 6.2/39 =
- 7.9/19 =
- 8.5/39 =
- 9.7/29 =
- 10.9/49 =
- 11.2/29 =
- 12.4/29 =
- 13.2/29 =
- 14.2/59 =
- 15.3/59 =
- 16.1/29 =
- 17.4/29 =
- 18.3/19 =
- 19.2/29 =
- 20.1/39 =
- 21.3/29 =
- 22.7/49 =
- 23.3/59 =
- 24.3/39 =
- 25.7/39 =
- 26.2/39 =
- 27.2/39 =
- 28.4/19 =
- 29.1/39 =
- 30.7/59 =
- 31.3/19 =
- 32.9/29 =
- 33.8/49 =
- 34.1/19 =
- 35.6/29 =
- 36.8/39 =
- 37.2/29 =
- 38.7/19 =
- 39.2/49 =
- 40.6/19 =
Answer key
- 0.016949
- 0.040816
- 0.076923
- 0.020408
- 0.183673
- 0.051282
- 0.473684
- 0.128205
- 0.241379
- 0.183673
- 0.068965
- 0.137931
- 0.068965
- 0.033898
- 0.050847
- 0.034482
- 0.137931
- 0.157894
- 0.068965
- 0.025641
- 0.103448
- 0.142857
- 0.050847
- 0.076923
- 0.179487
- 0.051282
- 0.051282
- 0.210526
- 0.025641
- 0.118644
- 0.157894
- 0.310344
- 0.163265
- 0.052631
- 0.206896
- 0.205128
- 0.068965
- 0.368421
- 0.040816
- 0.315789
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