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What is 0.73 repeating as a fraction?

0.73333…=

0.73 repeating as a fraction is 11/15 — exactly, not rounded. As a percent it is ≈ 73.33%.

Improper fraction 11/15Percent ≈ 73.33%Before simplifying 66/90

How to convert 0.73333… to a fraction

  1. Let x = 0.733… The repeating block "3" has 1 digit.
  2. Multiply by 10^2 and by 10^1 so the repeating tails line up, then subtract.
    100x − 10x = 73 − 7
  3. That gives 90x = 66, so x = 66/90.
  4. Simplify by dividing top and bottom by the GCF, 6.
    66/90 = 11/15

Fractions equal to 11/15

22/30 = 33/45 = 44/60 = 55/75 = 110/150 = 11/15. All are equivalent; 11/15 is the one in lowest terms.

Convert another value with the decimal to fraction converter, see neighbours in the fraction chart, or browse every decimal we list.

Questions people ask

What is 0.73 repeating as a fraction?

0.73333… (0.73 repeating) is exactly 11/15. A repeating decimal is never "about" a fraction: the repeating digits make it equal to 11/15 exactly.

How do you turn 0.73 repeating into a fraction?

Call the number x, multiply it by a power of 10 so the repeating tails line up, and subtract. The tails cancel, leaving 66/90, which simplifies to 11/15.

What is 0.73 repeating as a percent?

11/15 × 100 ≈ 73.33% (the digits keep repeating, so this is rounded to 2 places).