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
- 1.6/39 =
- 2.3/29 =
- 3.6/59 =
- 4.6/59 =
- 5.2/49 =
- 6.6/59 =
- 7.2/49 =
- 8.5/49 =
- 9.9/19 =
- 10.8/19 =
- 11.5/39 =
- 12.3/59 =
- 13.9/29 =
- 14.6/19 =
- 15.6/59 =
- 16.2/19 =
- 17.3/39 =
- 18.8/19 =
- 19.1/29 =
- 20.3/49 =
- 21.3/39 =
- 22.9/39 =
- 23.2/59 =
- 24.8/19 =
- 25.6/29 =
- 26.5/29 =
- 27.1/39 =
- 28.9/59 =
- 29.6/49 =
- 30.9/19 =
- 31.2/49 =
- 32.6/29 =
- 33.7/29 =
- 34.3/49 =
- 35.2/49 =
- 36.1/29 =
- 37.6/29 =
- 38.5/39 =
- 39.6/39 =
- 40.8/49 =
Answer key
- 0.153846
- 0.103448
- 0.101694
- 0.101694
- 0.040816
- 0.101694
- 0.040816
- 0.102040
- 0.473684
- 0.421052
- 0.128205
- 0.050847
- 0.310344
- 0.315789
- 0.101694
- 0.105263
- 0.076923
- 0.421052
- 0.034482
- 0.061224
- 0.076923
- 0.230769
- 0.033898
- 0.421052
- 0.206896
- 0.172413
- 0.025641
- 0.152542
- 0.122448
- 0.473684
- 0.040816
- 0.206896
- 0.241379
- 0.061224
- 0.040816
- 0.034482
- 0.206896
- 0.128205
- 0.153846
- 0.163265
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