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Math Help - Simplification

  1. #1
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    Exclamation Simplification

    Hi,

    I'd like to know if you can tell me if I have gotten the following simplification correct.

    Thanks!


    (2/1 + 3/4) (2/1 - 3/8) =
    5/5 1/9 =
    5/5 9/1 =
    45/5 = 9/1
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  2. #2
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    Quote Originally Posted by YamahaR62002 View Post
    Hi,

    I'd like to know if you can tell me if I have gotten the following simplification correct.

    Thanks!


    (2/1 + 3/4) (2/1 - 3/8) =
    5/5 1/9 =
    5/5 9/1 =
    45/5 = 9/1
    first, note that \frac{2}{1} + \frac{3}{4} \ne \frac{5}{5} and \frac{2}{1} - \frac{3}{8} \ne \frac{1}{9}


    in both cases you need a common denominator ...

    \frac{8}{4} + \frac{3}{4} = \frac{8+3}{4} = \frac{11}{4}

    \frac{16}{8} - \frac{3}{8} = \frac{16-3}{8} =  \frac{13}{8}


    now do the division.
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  3. #3
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    By the way, is there a math editor tool that I can use?

    Thanks for your reply; greatly appreciated.
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  4. #4
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    Just want to know where you got the

    8/4 at the beginning - How did you get the 8?
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  5. #5
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    Quote Originally Posted by YamahaR62002 View Post
    Just want to know where you got the

    8/4 at the beginning - How did you get the 8?
    \frac{2}{1} = \frac{8}{4}
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  6. #6
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    In fact, the simplest way to do that problem is to multiply both numerator and denominator by the least common denominator of the fractions: 8.
    \frac{\left(2+ \frac{3}{4}\right)8}{\left(2- \frac{3}{8}\right)8}
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