9.333… as a Fraction

9.333… (9.3 repeating) as a fraction is 28/3. As a mixed number that is 9 1/3.

How to convert 9.333… to a fraction

  1. Let x = 9.333... (the underlined part, 3, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 93.333...
  3. Subtract to cancel the repeating tail: 10x − x = 93 − 9, so 9x = 84.
  4. Solve: x = 84/9. The greatest common divisor is 3, so x = 28/3.

Since 28 is larger than 3, it can also be written as the mixed number 9 1/3.

Check

Divide 28 by 3 on a calculator: 28 ÷ 3 = 9.3333333333… which matches 9.333….

Similar repeating decimals

DecimalFraction
8.777…79/9
8.888…80/9
9.111…82/9
9.222…83/9
9.444…85/9
9.555…86/9
9.666…29/3
9.777…88/9

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