0.848484… as a Fraction

0.848484… (0.84 repeating) as a fraction is 28/33.

How to convert 0.848484… to a fraction

  1. Let x = 0.848484... (the underlined part, 84, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 84.848484...
  3. Subtract to cancel the repeating tail: 100x − x = 84 − 0, so 99x = 84.
  4. Solve: x = 84/99. The greatest common divisor is 3, so x = 28/33.

Check

Divide 28 by 33 on a calculator: 28 ÷ 33 = 0.8484848485… which matches 0.848484….

Similar repeating decimals

DecimalFraction
0.8333…5/6
0.83666…251/300
0.838383…83/99
0.8444…38/45
0.846846846…94/111
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.