1.888… as a Fraction

1.888… (1.8 repeating) as a fraction is 17/9. As a mixed number that is 1 8/9.

How to convert 1.888… to a fraction

  1. Let x = 1.888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 18.888...
  3. Subtract to cancel the repeating tail: 10x − x = 18 − 1, so 9x = 17.
  4. Solve: x = 17/9. The greatest common divisor is 1, so x = 17/9 (already in lowest terms).

Since 17 is larger than 9, it can also be written as the mixed number 1 8/9.

Check

Divide 17 by 9 on a calculator: 17 ÷ 9 = 1.8888888889… which matches 1.888….

Similar repeating decimals

DecimalFraction
1.444…13/9
1.555…14/9
1.666…5/3
1.777…16/9
1.8333…11/6
2.111…19/9
2.1666…13/6
2.222…20/9

See also: 17/9 as a mixed number.

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