0.461461461… as a Fraction

0.461461461… (0.461 repeating) as a fraction is 461/999.

How to convert 0.461461461… to a fraction

  1. Let x = 0.461461461... (the underlined part, 461, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 461.461461461...
  3. Subtract to cancel the repeating tail: 1000x − x = 461 − 0, so 999x = 461.
  4. Solve: x = 461/999. The greatest common divisor is 1, so x = 461/999 (already in lowest terms).

Check

Divide 461 by 999 on a calculator: 461 ÷ 999 = 0.4614614615… which matches 0.461461461….

Similar repeating decimals

DecimalFraction
0.444…4/9
0.454545…5/11
0.4555…41/90
0.456456456…152/333
0.464646…46/99
0.4666…7/15
0.474747…47/99
0.4777…43/90

Another decimal? Browse the repeating decimal to fraction chart, the terminating decimal chart, or use the decimal to fraction converter.