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Math Help - simplify algebra fraction

  1. #1
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    simplify algebra fraction

    Could some1 plz tell me how to do this equation:
    3x+x
    8 4=
    got no idea how to do it. caould some1 plz reply
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  2. #2
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    Quote Originally Posted by eatho View Post
    Could some1 plz tell me how to do this equation:
    3x+x
    8 4=
    got no idea how to do it. caould some1 plz reply
    Please write it clearly, how can we understand what 3x+x is?
    .................................................. ........................ 8 4=
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  3. #3
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    Quote Originally Posted by eatho View Post
    Could some1 plz tell me how to do this equation:
    3x+x
    8 4=
    got no idea how to do it. caould some1 plz reply
    I am not sure what you are trying to write here. If you have trouble aligning things, enclose the relevant portions between [code] and [/code] tags.

    I would assume you meant \frac{3x}8 + \frac x4, but that isn't an equation (this would just be simplifying an expression). Is there something missing to the right of that equal sign?

    If it is \frac{3x}8 + \frac x4, just get a common denominator and join the fractions. The least common multiple of 4 and 8 is 8, so we do

    \frac{3x}8 + \frac x4 = \frac{3x}8 + \frac x4{\color{red}\cdot\frac22} = \frac{3x}8 + \frac{2x}{4\cdot2}

    = \frac{3x}8 + \frac{2x}8 = \frac{3x + 2x}8 = \frac{5x}8
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