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Math Help - Simplify

  1. #1
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    Smile Simplify

    Simplify
    x-3/3-x-2/5
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  2. #2
    Member
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    Dec 2008
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    Auckland, New Zealand
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    You have x - x -1 - 2/5

    The x's cancel each other out, and then use a common denominator of 5:

    = -5/5 - 2/5 = -7/5

    Or did you mean (x-3)/3 - (x-2)/5 ?
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  3. #3
    MHF Contributor
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    Talking

    Quote Originally Posted by Crystal09 View Post
    Simplify x-3/3-x-2/5
    The above means the following:

    . . . . . x\, -\, \frac{3}{3}\, -\, x\, -\, \frac{2}{5}

    If this is what you meant, then subtract the x's and then note that 3/3 = 1 = 5/5, and add the -5/5 and the -2/5.

    If, on the other hand, you meant the following:

    . . . . . \frac{x\, -\, 3}{3}\, -\, \frac{x\, -\, 2}{5}

    ...then you need to convert the two fractions to a common denominator:

    . . . . . \frac{5(x\, -\, 3)}{3\times 5}\, -\, \frac{3(x\, -\, 2)}{5\times 3}

    Multiply out, and then simplify across the top.
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