0.5888… as a Fraction

0.5888… (0.58 repeating) as a fraction is 53/90.

How to convert 0.5888… to a fraction

  1. Let x = 0.5888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 58.888...
  3. Move the decimal point past the non-repeating digits too: 10x = 5.8888...
  4. Subtract to cancel the repeating tail: 100x − 10x = 58 − 5, so 90x = 53.
  5. Solve: x = 53/90. The greatest common divisor is 1, so x = 53/90 (already in lowest terms).

Check

Divide 53 by 90 on a calculator: 53 ÷ 90 = 0.5888888889… which matches 0.5888….

Similar repeating decimals

DecimalFraction
0.571571571…571/999
0.575757…19/33
0.5777…26/45
0.58333…7/12
0.585858…58/99
0.58666…44/75
0.595959…59/99
0.606060…20/33

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