2.888… as a Fraction

2.888… (2.8 repeating) as a fraction is 26/9. As a mixed number that is 2 8/9.

How to convert 2.888… to a fraction

  1. Let x = 2.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 28.888...
  3. Subtract to cancel the repeating tail: 10x − x = 28 − 2, so 9x = 26.
  4. Solve: x = 26/9. The greatest common divisor is 1, so x = 26/9 (already in lowest terms).

Since 26 is larger than 9, it can also be written as the mixed number 2 8/9.

Check

Divide 26 by 9 on a calculator: 26 ÷ 9 = 2.8888888889… which matches 2.888….

Similar repeating decimals

DecimalFraction
2.444…22/9
2.5333…38/15
2.555…23/9
2.666…8/3
2.777…25/9
3.111…28/9
3.222…29/9
3.333…10/3

See also: 26/9 as a mixed number.

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