0.323232… as a Fraction

0.323232… (0.32 repeating) as a fraction is 32/99.

How to convert 0.323232… to a fraction

  1. Let x = 0.323232... (the underlined part, 32, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 32.323232...
  3. Subtract to cancel the repeating tail: 100x − x = 32 − 0, so 99x = 32.
  4. Solve: x = 32/99. The greatest common divisor is 1, so x = 32/99 (already in lowest terms).

Check

Divide 32 by 99 on a calculator: 32 ÷ 99 = 0.3232323232… which matches 0.323232….

Similar repeating decimals

DecimalFraction
0.303030…10/33
0.307307307…307/999
0.3111…14/45
0.313131…31/99
0.3222…29/90
0.333…1/3
0.343434…34/99
0.3444…31/90

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