0.696969… as a Fraction

0.696969… (0.69 repeating) as a fraction is 23/33.

How to convert 0.696969… to a fraction

  1. Let x = 0.696969... (the underlined part, 69, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 69.696969...
  3. Subtract to cancel the repeating tail: 100x − x = 69 − 0, so 99x = 69.
  4. Solve: x = 69/99. The greatest common divisor is 3, so x = 23/33.

Check

Divide 23 by 33 on a calculator: 23 ÷ 33 = 0.696969697… which matches 0.696969….

Similar repeating decimals

DecimalFraction
0.6777…61/90
0.678678678…226/333
0.686868…68/99
0.6888…31/45
0.692692692…692/999
0.707070…70/99
0.7111…32/45
0.714714714…238/333

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