0.555… as a Fraction

0.555… (0.5 repeating) as a fraction is 5/9.

How to convert 0.555… to a fraction

1. Let x = 0.555... (the underlined part, 5, repeats forever).
2. Move the decimal point past one full repeating block: 10x = 5.555...
3. Subtract to cancel the repeating tail: 10x − x = 5 − 0, so 9x = 5.
4. Solve: x = 5/9. The greatest common divisor is 1, so x = 5/9 (already in lowest terms).

Check

Divide 5 by 9 on a calculator: 5 ÷ 9 = 0.5555555556… which matches 0.555….

Similar repeating decimals

See also: 5/9 as a decimal.

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