3.888… as a Fraction

3.888… (3.8 repeating) as a fraction is 35/9. As a mixed number that is 3 8/9.

How to convert 3.888… to a fraction

  1. Let x = 3.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 38.888...
  3. Subtract to cancel the repeating tail: 10x − x = 38 − 3, so 9x = 35.
  4. Solve: x = 35/9. The greatest common divisor is 1, so x = 35/9 (already in lowest terms).

Since 35 is larger than 9, it can also be written as the mixed number 3 8/9.

Check

Divide 35 by 9 on a calculator: 35 ÷ 9 = 3.8888888889… which matches 3.888….

Similar repeating decimals

DecimalFraction
3.444…31/9
3.555…32/9
3.666…11/3
3.777…34/9
3.8333…23/6
4.111…37/9
4.222…38/9
4.333…13/3

See also: 35/9 as a mixed number.

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