8.888… as a Fraction

8.888… (8.8 repeating) as a fraction is 80/9. As a mixed number that is 8 8/9.

How to convert 8.888… to a fraction

  1. Let x = 8.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 88.888...
  3. Subtract to cancel the repeating tail: 10x − x = 88 − 8, so 9x = 80.
  4. Solve: x = 80/9. The greatest common divisor is 1, so x = 80/9 (already in lowest terms).

Since 80 is larger than 9, it can also be written as the mixed number 8 8/9.

Check

Divide 80 by 9 on a calculator: 80 ÷ 9 = 8.8888888889… which matches 8.888….

Similar repeating decimals

DecimalFraction
8.333…25/3
8.444…76/9
8.555…77/9
8.666…26/3
8.777…79/9
9.111…82/9
9.222…83/9
9.333…28/3

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