0.846846846… as a Fraction

0.846846846… (0.846 repeating) as a fraction is 94/111.

How to convert 0.846846846… to a fraction

  1. Let x = 0.846846846... (the underlined part, 846, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 846.846846846...
  3. Subtract to cancel the repeating tail: 1000x − x = 846 − 0, so 999x = 846.
  4. Solve: x = 846/999. The greatest common divisor is 9, so x = 94/111.

Check

Divide 94 by 111 on a calculator: 94 ÷ 111 = 0.8468468468… which matches 0.846846846….

Similar repeating decimals

DecimalFraction
0.8333…5/6
0.83666…251/300
0.838383…83/99
0.8444…38/45
0.848484…28/33
0.8555…77/90
0.857857857…857/999
0.858585…85/99

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