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 =
- 2.4/29 =
- 3.5/29 =
- 4.4/29 =
- 5.4/39 =
- 6.6/59 =
- 7.7/19 =
- 8.1/19 =
- 9.1/59 =
- 10.9/49 =
- 11.6/49 =
- 12.1/39 =
- 13.1/29 =
- 14.1/49 =
- 15.7/39 =
- 16.7/19 =
- 17.1/29 =
- 18.6/19 =
- 19.7/19 =
- 20.9/59 =
- 21.2/39 =
- 22.2/29 =
- 23.3/49 =
- 24.2/39 =
- 25.9/39 =
- 26.1/39 =
- 27.3/49 =
- 28.5/29 =
- 29.5/49 =
- 30.9/49 =
- 31.4/29 =
- 32.6/29 =
- 33.1/49 =
- 34.6/59 =
- 35.9/39 =
- 36.3/29 =
- 37.4/39 =
- 38.8/59 =
- 39.3/29 =
- 40.8/29 =
Answer key
- 0.421052
- 0.137931
- 0.172413
- 0.137931
- 0.102564
- 0.101694
- 0.368421
- 0.052631
- 0.016949
- 0.183673
- 0.122448
- 0.025641
- 0.034482
- 0.020408
- 0.179487
- 0.368421
- 0.034482
- 0.315789
- 0.368421
- 0.152542
- 0.051282
- 0.068965
- 0.061224
- 0.051282
- 0.230769
- 0.025641
- 0.061224
- 0.172413
- 0.102040
- 0.183673
- 0.137931
- 0.206896
- 0.020408
- 0.101694
- 0.230769
- 0.103448
- 0.102564
- 0.135593
- 0.103448
- 0.275862
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