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Math Help - algebraic fraction question

  1. #1
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    algebraic fraction question

    hi

    can anyone clear my mind

    Q. 1/3x -2/x+3

    I understand tha I have to make both denominators the same and to do this I multiply them together.

    I make the answer to be 3x^2+3 and would use this as the denominator, but the answer in my book tells me that the denomonator should be 3(x+3)
    am I missing something?

    Dave
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  2. #2
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    Re: algebraic fraction question

    \frac{1}{3} \cdot x -\frac{2}{x+3}=\frac {x(x+3)-6}{3(x+3)}
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  3. #3
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    Re: algebraic fraction question

    why do I write 3(x+3)
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  4. #4
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    Re: algebraic fraction question

    Quote Originally Posted by davellew69 View Post
    why do I write 3(x+3)
    \frac{a}{b}+\frac{c}{d}=\frac{a \cdot d+b \cdot c}{b \cdot d}
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  5. #5
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    Re: algebraic fraction question

    Quote Originally Posted by davellew69 View Post
    1/3x -2/x+3
    Brackets required: x/3 - 2(x+3)
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