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Math Help - Adding Rational Expressions

  1. #1
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    Adding Rational Expressions

    I can get this question right except for the last part.

    \frac{1}{2x-2}+\frac{3}{4x-8}

    The non-reduced answer i end up getting is:

    \frac{10x-14}{12(x-2)(x-1)}

    My question is when you are simplfying this question why is it that you divide the numerator by 2 and the denominator by 3?? Aren't the numerator and the denominator supposed to be divided by the same numbers

    My answer:

    \frac{5x-7}{6(x-2)(x-1)}

    Book answer:

    \frac{5x-7}{4(x-2)(x-1)}
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by t-dot View Post
    ...

    The non-reduced answer i end up getting is:

    \frac{10x-14}{12(x-2)(x-1)}

    ...
    this is where you're wrong. the non-reduced answer is \frac{10x-14}{8(x-2)(x-1)}
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