0.857857857… as a Fraction

0.857857857… (0.857 repeating) as a fraction is 857/999.

How to convert 0.857857857… to a fraction

  1. Let x = 0.857857857... (the underlined part, 857, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 857.857857857...
  3. Subtract to cancel the repeating tail: 1000x − x = 857 − 0, so 999x = 857.
  4. Solve: x = 857/999. The greatest common divisor is 1, so x = 857/999 (already in lowest terms).

Check

Divide 857 by 999 on a calculator: 857 ÷ 999 = 0.8578578579… which matches 0.857857857….

Similar repeating decimals

DecimalFraction
0.838383…83/99
0.8444…38/45
0.846846846…94/111
0.848484…28/33
0.8555…77/90
0.858585…85/99
0.8666…13/15
0.868686…86/99

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