5.888… as a Fraction

5.888… (5.8 repeating) as a fraction is 53/9. As a mixed number that is 5 8/9.

How to convert 5.888… to a fraction

  1. Let x = 5.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 58.888...
  3. Subtract to cancel the repeating tail: 10x − x = 58 − 5, so 9x = 53.
  4. Solve: x = 53/9. The greatest common divisor is 1, so x = 53/9 (already in lowest terms).

Since 53 is larger than 9, it can also be written as the mixed number 5 8/9.

Check

Divide 53 by 9 on a calculator: 53 ÷ 9 = 5.8888888889… which matches 5.888….

Similar repeating decimals

DecimalFraction
5.444…49/9
5.555…50/9
5.666…17/3
5.777…52/9
6.111…55/9
6.222…56/9
6.333…19/3
6.444…58/9

See also: 53/9 as a mixed number.

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