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Math Help - [SOLVED] Simplifying complex rational expressions

  1. #1
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    [SOLVED] Simplifying complex rational expressions

    Hi,

    I need help with the problem below and would really appreciate an explanation as to how each step is done.

    Thank you!

    x - 1
    4
    ___________
    x-4

    (x over 4 minus 1 divided by x minus 4)
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  2. #2
    Super Member Quacky's Avatar
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    Windsor, South-East England
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     <br />
\frac{\displaystyle\frac{x}{4}-1}{x-4}<br />

    That looks disgusting to work with. First, I'm just going to rewrite the top as a whole fraction:

     <br />
=\frac{\displaystyle\frac{x-4}{4}}{x-4}<br />

    Now, this could be written as:

     <br />
=\frac{x-4}{4} \div (x-4)<br />

    Can you see how that would equal \frac {1}{4}? If not, I'll try to explain further.
    Last edited by Quacky; February 6th 2010 at 02:17 PM. Reason: Corrected a grammatical mistake.
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  3. #3
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    Yes, that helped a lot and I understand how you got 1/4. Thank you much!
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