0.272727… as a Fraction

0.272727… (0.27 repeating) as a fraction is 3/11.

How to convert 0.272727… to a fraction

  1. Let x = 0.272727... (the underlined part, 27, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 27.272727...
  3. Subtract to cancel the repeating tail: 100x − x = 27 − 0, so 99x = 27.
  4. Solve: x = 27/99. The greatest common divisor is 9, so x = 3/11.

Check

Divide 3 by 11 on a calculator: 3 ÷ 11 = 0.2727272727… which matches 0.272727….

Similar repeating decimals

DecimalFraction
0.252525…25/99
0.2555…23/90
0.262626…26/99
0.2666…4/15
0.2777…5/18
0.282828…28/99
0.285285285…95/333
0.2888…13/45

See also: 3/11 as a decimal.

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