Expert: Sherman D. - 2/1/2007

Question
But the question is how to show mathematically a fraction of a percent.  Back to my example, in order to find what percent of 15 4 is you would divide 4 by 15 which gives you .26 with the 6 repeating.  How do I translate that to a fractional percent or 26 2/3 %
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-----Question-----
How do you find a fractional percent?  For example, I am finding the percent of 4 out of 15.  I know the answer is 26 2/3 % but I don't know how to show my daughter how to come to that answer - .6666666 repeating is just 2/3 to me.  So how do you find a fractional percent?
-----Answer-----
quite easy, you know that whenever you get a decimal, and you multiply that by 100 in order to show that that decimal is a certain percent of another number.

For ex:

1/4 = .25

Multiply that by 100 and you get 25% and as we all know 25% is the same as saying 1/4 of a number.

2/3 = .6666666666666666 = 66.67% as you can see, if you take the decimal value of 2/3 and multiplied it by 100, you get 66.67%.

Answer
4/15 = .266666666666

.2666666666 * 100 = 26.666666666%

this is the same as saying 26 2/3%

Other than that, i'm not certain what you want.

Now 26 2/3% is also the same as 80/3%

i have given you a mixed fraction percent and an improper fraction percent.