0.262626… as a Fraction

0.262626… (0.26 repeating) as a fraction is 26/99.

How to convert 0.262626… to a fraction

  1. Let x = 0.262626... (the underlined part, 26, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 26.262626...
  3. Subtract to cancel the repeating tail: 100x − x = 26 − 0, so 99x = 26.
  4. Solve: x = 26/99. The greatest common divisor is 1, so x = 26/99 (already in lowest terms).

Check

Divide 26 by 99 on a calculator: 26 ÷ 99 = 0.2626262626… which matches 0.262626….

Similar repeating decimals

DecimalFraction
0.242424…8/33
0.2444…11/45
0.252525…25/99
0.2555…23/90
0.2666…4/15
0.272727…3/11
0.2777…5/18
0.282828…28/99

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