6.444… as a Fraction

6.444… (6.4 repeating) as a fraction is 58/9. As a mixed number that is 6 4/9.

How to convert 6.444… to a fraction

  1. Let x = 6.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 64.444...
  3. Subtract to cancel the repeating tail: 10x − x = 64 − 6, so 9x = 58.
  4. Solve: x = 58/9. The greatest common divisor is 1, so x = 58/9 (already in lowest terms).

Since 58 is larger than 9, it can also be written as the mixed number 6 4/9.

Check

Divide 58 by 9 on a calculator: 58 ÷ 9 = 6.4444444444… which matches 6.444….

Similar repeating decimals

DecimalFraction
5.888…53/9
6.111…55/9
6.222…56/9
6.333…19/3
6.555…59/9
6.666…20/3
6.777…61/9
6.888…62/9

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