How to Change a Percent to a Fraction

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      To convert a percent to a fraction, you must put the percentage over 100 and drop the % sign then reduce.
 
For example:
 
25% = 25 = 1
           100   4
 
 
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      But, sometimes percentages have fractions in them like 66 2/3.  The fraction 66 2/3 is read as 66 2/3 over 100 (or 66 2/3 divided by 100).  What we have to do is convert 66 2/3 from a mixed number to an improper fraction.  Then, we can divide by 100.
 
     So, when we change 66 2/3 to an improper fraction, it becomes 200/3 (see tip on converting mixed numbers to improper fractions). 
 
     Now, we take 200/3 and divide by 100.  In doing so, it is easier to invert and multiply (i.e. instead of dividing by 100, we multiply by 1 over 100).
 
So 200 divided by 100 = 200 x 1   = 2
        3                                    3    100    3

What did we do?

1.  We changed the mixed number to an improper fraction.

2.  Instead of dividing the improper fraction by 100, we inverted and multiplied by 1 over      

     100.

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