4.888… as a Fraction

4.888… (4.8 repeating) as a fraction is 44/9. As a mixed number that is 4 8/9.

How to convert 4.888… to a fraction

  1. Let x = 4.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 48.888...
  3. Subtract to cancel the repeating tail: 10x − x = 48 − 4, so 9x = 44.
  4. Solve: x = 44/9. The greatest common divisor is 1, so x = 44/9 (already in lowest terms).

Since 44 is larger than 9, it can also be written as the mixed number 4 8/9.

Check

Divide 44 by 9 on a calculator: 44 ÷ 9 = 4.8888888889… which matches 4.888….

Similar repeating decimals

DecimalFraction
4.444…40/9
4.555…41/9
4.666…14/3
4.777…43/9
5.111…46/9
5.222…47/9
5.333…16/3
5.444…49/9

See also: 44/9 as a mixed number.

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