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Math Help - Turning a percent to a fraction

  1. #1
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    Turning a percent to a fraction

    If I have the percent of 66.667 and I want to change this to a fraction how do I do it. I know that the fraction should reduce to 2/3.

    What I get is change 66.667 to a decimal = .66667 then I count the spaces and put the number over that number of spaces. So I get 66667/100000 I cannot get this to reduce to 2/3. How can I shpw this is two thirds?
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  2. #2
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    Quote Originally Posted by schinb64 View Post
    If I have the percent of 66.667 and I want to change this to a fraction how do I do it. I know that the fraction should reduce to 2/3.

    What I get is change 66.667 to a decimal = .66667 then I count the spaces and put the number over that number of spaces. So I get 66667/100000 I cannot get this to reduce to 2/3. How can I shpw this is two thirds?
    66.667 is a rounded approaximate answer. The original exact value was obviously 66 and 2/3. Note that 66 and 2/3 is the same as 200/3:

    66 + 2/3 = (198/3) + (2/3) = 200/3.

    To convert a percentage to a fraction, divide by 100.

    200/3 divided by 100 is equal to 2/3.
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