0.230230230… as a Fraction

0.230230230… (0.230 repeating) as a fraction is 230/999.

How to convert 0.230230230… to a fraction

  1. Let x = 0.230230230... (the underlined part, 230, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 230.230230230...
  3. Subtract to cancel the repeating tail: 1000x − x = 230 − 0, so 999x = 230.
  4. Solve: x = 230/999. The greatest common divisor is 1, so x = 230/999 (already in lowest terms).

Check

Divide 230 by 999 on a calculator: 230 ÷ 999 = 0.2302302302… which matches 0.230230230….

Similar repeating decimals

DecimalFraction
0.2111…19/90
0.212121…7/33
0.222…2/9
0.232323…23/99
0.2333…7/30
0.234234234…26/111
0.242424…8/33
0.2444…11/45

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