0.646464… as a Fraction

0.646464… (0.64 repeating) as a fraction is 64/99.

How to convert 0.646464… to a fraction

  1. Let x = 0.646464... (the underlined part, 64, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 64.646464...
  3. Subtract to cancel the repeating tail: 100x − x = 64 − 0, so 99x = 64.
  4. Solve: x = 64/99. The greatest common divisor is 1, so x = 64/99 (already in lowest terms).

Check

Divide 64 by 99 on a calculator: 64 ÷ 99 = 0.6464646465… which matches 0.646464….

Similar repeating decimals

DecimalFraction
0.6222…28/45
0.626262…62/99
0.6333…19/30
0.636363…7/11
0.6444…29/45
0.6555…59/90
0.656565…65/99
0.666…2/3

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