0.571571571… as a Fraction

0.571571571… (0.571 repeating) as a fraction is 571/999.

How to convert 0.571571571… to a fraction

  1. Let x = 0.571571571... (the underlined part, 571, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 571.571571571...
  3. Subtract to cancel the repeating tail: 1000x − x = 571 − 0, so 999x = 571.
  4. Solve: x = 571/999. The greatest common divisor is 1, so x = 571/999 (already in lowest terms).

Check

Divide 571 by 999 on a calculator: 571 ÷ 999 = 0.5715715716… which matches 0.571571571….

Similar repeating decimals

DecimalFraction
0.565656…56/99
0.5666…17/30
0.567567567…21/37
0.575757…19/33
0.5777…26/45
0.58333…7/12
0.585858…58/99
0.58666…44/75

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