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Math Help - Fraction Problem

  1. #1
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    Fraction Problem

    Man I dislike these fractions but I am having problems finding the answer to this one. \frac{5}{2x}-\frac{4}{2x^2+3x}


    The site helps me a lot and I haven't found a math site that has help me as much as this one. Even if i am just reading someone threads or doing mine I find help in it somewheres.
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  2. #2
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    Quote Originally Posted by Itsbaxagain View Post
    Man I dislike these fractions but I am having problems finding the answer to this one. \frac{5}{2x}-\frac{4}{2x^2+3x}


    The site helps me a lot and I haven't found a math site that has help me as much as this one. Even if i am just reading someone threads or doing mine I find help in it somewheres.
    Are you supposed to subtract the fractions?

    You need a common denominator. Note that the denominator of the second term is 2x^2 + 3x = x(2x + 3). The LCM of x and x(2x + 3) is 2x(2x + 3).

    So....
    \frac{5}{2x} - \frac{4}{2x^2+3x}

    = \frac{5}{2x} \cdot \frac{2x + 3}{2x + 3} - \frac{4}{2x^2+3x} \cdot \frac{2}{2}

    = \frac{5(2x + 3) - 2 \cdot 4}{2x(2x + 3)}

    = \frac{10x + 7}{2x(2x + 3)}

    -Dan
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