4.333… as a Fraction

4.333… (4.3 repeating) as a fraction is 13/3. As a mixed number that is 4 1/3.

How to convert 4.333… to a fraction

  1. Let x = 4.333... (the underlined part, 3, repeats forever).
  2. Move the decimal point past one full repeating block: 10x = 43.333...
  3. Subtract to cancel the repeating tail: 10x − x = 43 − 4, so 9x = 39.
  4. Solve: x = 39/9. The greatest common divisor is 3, so x = 13/3.

Since 13 is larger than 3, it can also be written as the mixed number 4 1/3.

Check

Divide 13 by 3 on a calculator: 13 ÷ 3 = 4.3333333333… which matches 4.333….

Similar repeating decimals

DecimalFraction
3.8333…23/6
3.888…35/9
4.111…37/9
4.222…38/9
4.444…40/9
4.555…41/9
4.666…14/3
4.777…43/9

See also: 13/3 as a mixed number.

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