0.4888… as a Fraction

0.4888… (0.48 repeating) as a fraction is 22/45.

How to convert 0.4888… to a fraction

  1. Let x = 0.4888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 48.888...
  3. Move the decimal point past the non-repeating digits too: 10x = 4.8888...
  4. Subtract to cancel the repeating tail: 100x − 10x = 48 − 4, so 90x = 44.
  5. Solve: x = 44/90. The greatest common divisor is 2, so x = 22/45.

Check

Divide 22 by 45 on a calculator: 22 ÷ 45 = 0.4888888889… which matches 0.4888….

Similar repeating decimals

DecimalFraction
0.464646…46/99
0.4666…7/15
0.474747…47/99
0.4777…43/90
0.484848…16/33
0.494949…49/99
0.505050…50/99
0.5111…23/45

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