0.232323… as a Fraction

0.232323… (0.23 repeating) as a fraction is 23/99.

How to convert 0.232323… to a fraction

  1. Let x = 0.232323... (the underlined part, 23, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 23.232323...
  3. Subtract to cancel the repeating tail: 100x − x = 23 − 0, so 99x = 23.
  4. Solve: x = 23/99. The greatest common divisor is 1, so x = 23/99 (already in lowest terms).

Check

Divide 23 by 99 on a calculator: 23 ÷ 99 = 0.2323232323… which matches 0.232323….

Similar repeating decimals

DecimalFraction
0.212121…7/33
0.222…2/9
0.230230230…230/999
0.2333…7/30
0.234234234…26/111
0.242424…8/33
0.2444…11/45
0.252525…25/99

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