8.333… as a Fraction

8.333… (8.3 repeating) as a fraction is 25/3. As a mixed number that is 8 1/3.

How to convert 8.333… to a fraction

  1. Let x = 8.333... (the underlined part, 3, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 83.333...
  3. Subtract to cancel the repeating tail: 10x − x = 83 − 8, so 9x = 75.
  4. Solve: x = 75/9. The greatest common divisor is 3, so x = 25/3.

Since 25 is larger than 3, it can also be written as the mixed number 8 1/3.

Check

Divide 25 by 3 on a calculator: 25 ÷ 3 = 8.3333333333… which matches 8.333….

Similar repeating decimals

DecimalFraction
7.888…71/9
8.111…73/9
8.222…74/9
8.444…76/9
8.555…77/9
8.666…26/3
8.777…79/9
8.888…80/9

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