7.444… as a Fraction

7.444… (7.4 repeating) as a fraction is 67/9. As a mixed number that is 7 4/9.

How to convert 7.444… to a fraction

  1. Let x = 7.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 74.444...
  3. Subtract to cancel the repeating tail: 10x − x = 74 − 7, so 9x = 67.
  4. Solve: x = 67/9. The greatest common divisor is 1, so x = 67/9 (already in lowest terms).

Since 67 is larger than 9, it can also be written as the mixed number 7 4/9.

Check

Divide 67 by 9 on a calculator: 67 ÷ 9 = 7.4444444444… which matches 7.444….

Similar repeating decimals

DecimalFraction
6.888…62/9
7.111…64/9
7.222…65/9
7.333…22/3
7.555…68/9
7.666…23/3
7.777…70/9
7.888…71/9

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