8.555… as a Fraction

8.555… (8.5 repeating) as a fraction is 77/9. As a mixed number that is 8 5/9.

How to convert 8.555… to a fraction

  1. Let x = 8.555... (the underlined part, 5, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 85.555...
  3. Subtract to cancel the repeating tail: 10x − x = 85 − 8, so 9x = 77.
  4. Solve: x = 77/9. The greatest common divisor is 1, so x = 77/9 (already in lowest terms).

Since 77 is larger than 9, it can also be written as the mixed number 8 5/9.

Check

Divide 77 by 9 on a calculator: 77 ÷ 9 = 8.5555555556… which matches 8.555….

Similar repeating decimals

DecimalFraction
8.111…73/9
8.222…74/9
8.333…25/3
8.444…76/9
8.666…26/3
8.777…79/9
8.888…80/9
9.111…82/9

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