0.484848… as a Fraction

0.484848… (0.48 repeating) as a fraction is 16/33.

How to convert 0.484848… to a fraction

  1. Let x = 0.484848... (the underlined part, 48, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 48.484848...
  3. Subtract to cancel the repeating tail: 100x − x = 48 − 0, so 99x = 48.
  4. Solve: x = 48/99. The greatest common divisor is 3, so x = 16/33.

Check

Divide 16 by 33 on a calculator: 16 ÷ 33 = 0.4848484848… which matches 0.484848….

Similar repeating decimals

DecimalFraction
0.461461461…461/999
0.464646…46/99
0.4666…7/15
0.474747…47/99
0.4777…43/90
0.4888…22/45
0.494949…49/99
0.505050…50/99

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