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
- 1.8/39 =
- 2.8/29 =
- 3.8/59 =
- 4.5/29 =
- 5.6/59 =
- 6.4/29 =
- 7.8/59 =
- 8.5/29 =
- 9.1/19 =
- 10.9/59 =
- 11.1/29 =
- 12.1/39 =
- 13.8/49 =
- 14.7/19 =
- 15.2/29 =
- 16.3/29 =
- 17.5/19 =
- 18.6/29 =
- 19.2/49 =
- 20.9/39 =
- 21.5/29 =
- 22.9/59 =
- 23.6/59 =
- 24.1/19 =
- 25.5/39 =
- 26.5/59 =
- 27.3/49 =
- 28.9/49 =
- 29.5/29 =
- 30.8/19 =
- 31.2/19 =
- 32.2/59 =
- 33.2/49 =
- 34.9/49 =
- 35.5/39 =
- 36.9/39 =
- 37.5/49 =
- 38.6/49 =
- 39.4/39 =
- 40.6/59 =
Answer key
- 0.205128
- 0.275862
- 0.135593
- 0.172413
- 0.101694
- 0.137931
- 0.135593
- 0.172413
- 0.052631
- 0.152542
- 0.034482
- 0.025641
- 0.163265
- 0.368421
- 0.068965
- 0.103448
- 0.263157
- 0.206896
- 0.040816
- 0.230769
- 0.172413
- 0.152542
- 0.101694
- 0.052631
- 0.128205
- 0.084745
- 0.061224
- 0.183673
- 0.172413
- 0.421052
- 0.105263
- 0.033898
- 0.040816
- 0.183673
- 0.128205
- 0.230769
- 0.102040
- 0.122448
- 0.102564
- 0.101694
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