0.7333… as a Fraction

0.7333… (0.73 repeating) as a fraction is 11/15.

How to convert 0.7333… to a fraction

  1. Let x = 0.7333... (the underlined part, 3, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 73.333...
  3. Move the decimal point past the non-repeating digits too: 10x = 7.3333...
  4. Subtract to cancel the repeating tail: 100x − 10x = 73 − 7, so 90x = 66.
  5. Solve: x = 66/90. The greatest common divisor is 6, so x = 11/15.

Check

Divide 11 by 15 on a calculator: 11 ÷ 15 = 0.7333333333… which matches 0.7333….

Similar repeating decimals

DecimalFraction
0.714714714…238/333
0.717171…71/99
0.7222…13/18
0.727272…8/11
0.737373…73/99
0.7444…67/90
0.747474…74/99
0.75333…113/150

See also: 11/15 as a decimal.

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