9.555… as a Fraction

9.555… (9.5 repeating) as a fraction is 86/9. As a mixed number that is 9 5/9.

How to convert 9.555… to a fraction

  1. Let x = 9.555... (the underlined part, 5, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 95.555...
  3. Subtract to cancel the repeating tail: 10x − x = 95 − 9, so 9x = 86.
  4. Solve: x = 86/9. The greatest common divisor is 1, so x = 86/9 (already in lowest terms).

Since 86 is larger than 9, it can also be written as the mixed number 9 5/9.

Check

Divide 86 by 9 on a calculator: 86 ÷ 9 = 9.5555555556… which matches 9.555….

Similar repeating decimals

DecimalFraction
8.888…80/9
9.111…82/9
9.222…83/9
9.333…28/3
9.444…85/9
9.666…29/3
9.777…88/9
9.888…89/9

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