.33 As A Fraction

How is 0.33 converted to 1/3? Multiplying by 100 gives 33/100 which can't be reduced. So what am I doing wrong?

justaguide | Certified Educator

The fractions obtained by dividing 1 by 3 is equal to 0.3333... the series of 3 after the decimal point goes on for ever.

To convert 0.33 to a fraction you would have to use approximation, approximating the recurring decimal obtained when 1 is divided by 3 gives 0.33.

This is what makes 0.33 approximately equal to 1/3 though the exact result is 33/100.

Here is some more information on how to turn a repeating decimal (a decimal that goes on forever) into a fraction.

Wiggin42 | Student

If you divide 1 by 3 by hand in the long way you get this:

Its a never ending and repeating decimal : 0.3333333333333333333333333...

But its not practical to just keep on writing this, is it? So we just use a short cut of .33 . Its basically understood by mathematicians as to what you're referring to.

jp---46 | Student

OK I guess 1/3 is just different from other fractions.