2.444… as a Fraction

2.444… (2.4 repeating) as a fraction is 22/9. As a mixed number that is 2 4/9.

How to convert 2.444… to a fraction

  1. Let x = 2.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 24.444...
  3. Subtract to cancel the repeating tail: 10x − x = 24 − 2, so 9x = 22.
  4. Solve: x = 22/9. The greatest common divisor is 1, so x = 22/9 (already in lowest terms).

Since 22 is larger than 9, it can also be written as the mixed number 2 4/9.

Check

Divide 22 by 9 on a calculator: 22 ÷ 9 = 2.4444444444… which matches 2.444….

Similar repeating decimals

DecimalFraction
2.111…19/9
2.1666…13/6
2.222…20/9
2.333…7/3
2.5333…38/15
2.555…23/9
2.666…8/3
2.777…25/9

See also: 22/9 as a mixed number.

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