5.444… as a Fraction

5.444… (5.4 repeating) as a fraction is 49/9. As a mixed number that is 5 4/9.

How to convert 5.444… to a fraction

  1. Let x = 5.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 54.444...
  3. Subtract to cancel the repeating tail: 10x − x = 54 − 5, so 9x = 49.
  4. Solve: x = 49/9. The greatest common divisor is 1, so x = 49/9 (already in lowest terms).

Since 49 is larger than 9, it can also be written as the mixed number 5 4/9.

Check

Divide 49 by 9 on a calculator: 49 ÷ 9 = 5.4444444444… which matches 5.444….

Similar repeating decimals

DecimalFraction
4.888…44/9
5.111…46/9
5.222…47/9
5.333…16/3
5.555…50/9
5.666…17/3
5.777…52/9
5.888…53/9

See also: 49/9 as a mixed number.

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