8.444… as a Fraction

8.444… (8.4 repeating) as a fraction is 76/9. As a mixed number that is 8 4/9.

How to convert 8.444… to a fraction

  1. Let x = 8.444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 84.444...
  3. Subtract to cancel the repeating tail: 10x − x = 84 − 8, so 9x = 76.
  4. Solve: x = 76/9. The greatest common divisor is 1, so x = 76/9 (already in lowest terms).

Since 76 is larger than 9, it can also be written as the mixed number 8 4/9.

Check

Divide 76 by 9 on a calculator: 76 ÷ 9 = 8.4444444444… which matches 8.444….

Similar repeating decimals

DecimalFraction
7.888…71/9
8.111…73/9
8.222…74/9
8.333…25/3
8.555…77/9
8.666…26/3
8.777…79/9
8.888…80/9

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