0.686868… as a Fraction

0.686868… (0.68 repeating) as a fraction is 68/99.

How to convert 0.686868… to a fraction

  1. Let x = 0.686868... (the underlined part, 68, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 68.686868...
  3. Subtract to cancel the repeating tail: 100x − x = 68 − 0, so 99x = 68.
  4. Solve: x = 68/99. The greatest common divisor is 1, so x = 68/99 (already in lowest terms).

Check

Divide 68 by 99 on a calculator: 68 ÷ 99 = 0.6868686869… which matches 0.686868….

Similar repeating decimals

DecimalFraction
0.666…2/3
0.676767…67/99
0.6777…61/90
0.678678678…226/333
0.6888…31/45
0.692692692…692/999
0.696969…23/33
0.707070…70/99

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