9.888… as a Fraction

9.888… (9.8 repeating) as a fraction is 89/9. As a mixed number that is 9 8/9.

How to convert 9.888… to a fraction

  1. Let x = 9.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 98.888...
  3. Subtract to cancel the repeating tail: 10x − x = 98 − 9, so 9x = 89.
  4. Solve: x = 89/9. The greatest common divisor is 1, so x = 89/9 (already in lowest terms).

Since 89 is larger than 9, it can also be written as the mixed number 9 8/9.

Check

Divide 89 by 9 on a calculator: 89 ÷ 9 = 9.8888888889… which matches 9.888….

Similar repeating decimals

DecimalFraction
8.888…80/9
9.111…82/9
9.222…83/9
9.333…28/3
9.444…85/9
9.555…86/9
9.666…29/3
9.777…88/9

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