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
- 1.2/29 =
- 2.4/59 =
- 3.2/49 =
- 4.3/29 =
- 5.9/29 =
- 6.3/59 =
- 7.2/19 =
- 8.4/19 =
- 9.2/49 =
- 10.2/59 =
- 11.6/29 =
- 12.1/29 =
- 13.2/59 =
- 14.9/49 =
- 15.3/29 =
- 16.2/49 =
- 17.9/39 =
- 18.9/49 =
- 19.3/59 =
- 20.5/59 =
- 21.8/39 =
- 22.4/39 =
- 23.5/39 =
- 24.9/29 =
- 25.7/19 =
- 26.8/59 =
- 27.8/39 =
- 28.1/29 =
- 29.5/19 =
- 30.2/39 =
- 31.5/29 =
- 32.6/49 =
- 33.1/29 =
- 34.9/39 =
- 35.9/29 =
- 36.6/19 =
- 37.5/49 =
- 38.9/29 =
- 39.6/49 =
- 40.5/19 =
Answer key
- 0.068965
- 0.067796
- 0.040816
- 0.103448
- 0.310344
- 0.050847
- 0.105263
- 0.210526
- 0.040816
- 0.033898
- 0.206896
- 0.034482
- 0.033898
- 0.183673
- 0.103448
- 0.040816
- 0.230769
- 0.183673
- 0.050847
- 0.084745
- 0.205128
- 0.102564
- 0.128205
- 0.310344
- 0.368421
- 0.135593
- 0.205128
- 0.034482
- 0.263157
- 0.051282
- 0.172413
- 0.122448
- 0.034482
- 0.230769
- 0.310344
- 0.315789
- 0.102040
- 0.310344
- 0.122448
- 0.263157
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