6.888… as a Fraction

6.888… (6.8 repeating) as a fraction is 62/9. As a mixed number that is 6 8/9.

How to convert 6.888… to a fraction

  1. Let x = 6.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 68.888...
  3. Subtract to cancel the repeating tail: 10x − x = 68 − 6, so 9x = 62.
  4. Solve: x = 62/9. The greatest common divisor is 1, so x = 62/9 (already in lowest terms).

Since 62 is larger than 9, it can also be written as the mixed number 6 8/9.

Check

Divide 62 by 9 on a calculator: 62 ÷ 9 = 6.8888888889… which matches 6.888….

Similar repeating decimals

DecimalFraction
6.444…58/9
6.555…59/9
6.666…20/3
6.777…61/9
7.111…64/9
7.222…65/9
7.333…22/3
7.444…67/9

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