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
- 1.9/39 =
- 2.9/49 =
- 3.7/59 =
- 4.4/39 =
- 5.4/59 =
- 6.8/59 =
- 7.1/49 =
- 8.5/39 =
- 9.8/49 =
- 10.1/39 =
- 11.6/19 =
- 12.4/59 =
- 13.7/49 =
- 14.4/19 =
- 15.3/29 =
- 16.7/19 =
- 17.1/19 =
- 18.6/59 =
- 19.7/49 =
- 20.2/19 =
- 21.6/19 =
- 22.8/39 =
- 23.8/59 =
- 24.3/19 =
- 25.3/29 =
- 26.1/19 =
- 27.2/39 =
- 28.2/49 =
- 29.3/59 =
- 30.2/19 =
- 31.1/19 =
- 32.4/39 =
- 33.1/59 =
- 34.6/19 =
- 35.4/19 =
- 36.7/29 =
- 37.6/19 =
- 38.4/19 =
- 39.2/39 =
- 40.8/29 =
Answer key
- 0.230769
- 0.183673
- 0.118644
- 0.102564
- 0.067796
- 0.135593
- 0.020408
- 0.128205
- 0.163265
- 0.025641
- 0.315789
- 0.067796
- 0.142857
- 0.210526
- 0.103448
- 0.368421
- 0.052631
- 0.101694
- 0.142857
- 0.105263
- 0.315789
- 0.205128
- 0.135593
- 0.157894
- 0.103448
- 0.052631
- 0.051282
- 0.040816
- 0.050847
- 0.105263
- 0.052631
- 0.102564
- 0.016949
- 0.315789
- 0.210526
- 0.241379
- 0.315789
- 0.210526
- 0.051282
- 0.275862
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