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?
3 Answers | Add Yours
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.
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.
OK I guess 1/3 is just different from other fractions.
We’ve answered 319,844 questions. We can answer yours, too.Ask a question