0.797979… as a Fraction

0.797979… (0.79 repeating) as a fraction is 79/99.

How to convert 0.797979… to a fraction

  1. Let x = 0.797979... (the underlined part, 79, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 79.797979...
  3. Subtract to cancel the repeating tail: 100x − x = 79 − 0, so 99x = 79.
  4. Solve: x = 79/99. The greatest common divisor is 1, so x = 79/99 (already in lowest terms).

Check

Divide 79 by 99 on a calculator: 79 ÷ 99 = 0.797979798… which matches 0.797979….

Similar repeating decimals

DecimalFraction
0.777…7/9
0.787878…26/33
0.7888…71/90
0.789789789…263/333
0.808080…80/99
0.8111…73/90
0.818181…9/11
0.8222…37/45

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