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Math Help - 8(2/7)% doesn't equal 58/7 ??

  1. #1
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    8(2/7)% doesn't equal 58/7 ??

    I am taking a Pre-College Mathematics (Math 050) Midterm 1 Review test. The question in question is:

    Write 8(2/7)% as a fraction.
    My answer was 58/7, which was an option, "B". However, the answer key gives the answer as "A", which is 29/350.

    First, I got it in my mind that I should multiply the whole number by the denominator and then add that product to the numerator, keeping it over the denominator: ((8*7)+2)/7, which is 58/7. Is this incorrect? If so, where did I learn that process?

    Second, I went wrong in not expressing the percentage as a fraction. How do I do that?
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  2. #2
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    Quote Originally Posted by cdbmath View Post
    I am taking a Pre-College Mathematics (Math 050) Midterm 1 Review test. The question in question is:

    My answer was 58/7, which was an option, "B". However, the answer key gives the answer as "A", which is 29/350.

    First, I got it in my mind that I should multiply the whole number by the denominator and then add that product to the numerator, keeping it over the denominator: ((8*7)+2)/7, which is 58/7. Is this incorrect? If so, where did I learn that process?

    Second, I went wrong in not expressing the percentage as a fraction. How do I do that?
    the percent-sign means that you have to multiply your frction by \frac1{100}. Therefore:

    \frac{58}7 \cdot \frac1{100} = \frac{58}{700} = \frac{29}{350}
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  3. #3
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    Why does 8(2/7) = 58/7

    I thought 8(2/7) was 8 x 2/7 = 16/7
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  4. #4
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    Quote Originally Posted by Bruce View Post
    Why does 8(2/7) = 58/7

    I thought 8(2/7) was 8 x 2/7 = 16/7
    I suspect the notation attempts reference to the number 8 and 2/7, that is 8 \frac{2}{7}.
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