0.285285285… as a Fraction

0.285285285… (0.285 repeating) as a fraction is 95/333.

How to convert 0.285285285… to a fraction

  1. Let x = 0.285285285... (the underlined part, 285, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 285.285285285...
  3. Subtract to cancel the repeating tail: 1000x − x = 285 − 0, so 999x = 285.
  4. Solve: x = 285/999. The greatest common divisor is 3, so x = 95/333.

Check

Divide 95 by 333 on a calculator: 95 ÷ 333 = 0.2852852853… which matches 0.285285285….

Similar repeating decimals

DecimalFraction
0.2666…4/15
0.272727…3/11
0.2777…5/18
0.282828…28/99
0.2888…13/45
0.292929…29/99
0.303030…10/33
0.307307307…307/999

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