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Math Help - Simplyfing algebraic expressions

  1. #1
    jennyC
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    Simplyfing algebraic expressions

    Can someone with better knowledge than my self help me with an alegbra question. help me simplify c-d divided by 1/d-1/c? please show the steps.
    Thank you!
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by jennyC View Post
    Can someone with better knowledge than my self help me with an alegbra question. help me simplify c-d divided by 1/d-1/c? please show the steps.
    Thank you!
    This will be a little rough without LaTeX...

    (c - d)/(1/d - 1/c)

    We wish to remove the fractions in the denominator. So we want to subtract:
    1/d - 1/c = c/(cd) - d/(cd) = (c - d)/cd

    So:
    (c - d)/(1/d - 1/c) = (c - d)/[(c - d)/cd]

    Now we want to multiply the denominator by cd to remove the fraction. But what we do to the denominator we must do to the numerator:
    (c - d)/(1/d - 1/c) = (c - d)/[(c - d)/cd] = [(c - d)(cd)]/(c - d) = cd

    It's always good to do to an example.
    c = 4, d = 2

    (4 - 2)/(1/2 - 1/4) = 2/(1/4) = 8 = 2*4 (Check!)

    -Dan
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