1.444… as a Fraction

1.444… (1.4 repeating) as a fraction is 13/9. As a mixed number that is 1 4/9.

How to convert 1.444… to a fraction

  1. Let x = 1.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 14.444...
  3. Subtract to cancel the repeating tail: 10x − x = 14 − 1, so 9x = 13.
  4. Solve: x = 13/9. The greatest common divisor is 1, so x = 13/9 (already in lowest terms).

Since 13 is larger than 9, it can also be written as the mixed number 1 4/9.

Check

Divide 13 by 9 on a calculator: 13 ÷ 9 = 1.4444444444… which matches 1.444….

Similar repeating decimals

DecimalFraction
1.111…10/9
1.1666…7/6
1.222…11/9
1.333…4/3
1.555…14/9
1.666…5/3
1.777…16/9
1.8333…11/6

See also: 13/9 as a mixed number.

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