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Math Help - complex rational expressions

  1. #1
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    complex rational expressions

    I want to make sure that I am doing this correctly. For this expression, I rewrote the fractions with an LCD of w. I came up with

    6w +3 over w - 6w over w all divided by 10w + 1 over w + 8w over w.

    After combining like terms, I got 3 over w divided by 18w + 1 over w.

    Did I do this correctly? If so, what is the next step?
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  2. #2
    Senior Member DivideBy0's Avatar
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    \frac{\frac{3}{w}-\frac{6}{2w+1}}{\frac{5}{w}+\frac{8}{2w+1}}=\frac{  \frac{3(2w+1)-6w}{w(2w+1)}}{\frac{5(2w+1)+8w}{w(2w+1)}}=\frac{3(  2w+1)-6w}{w(2w+1)} \times \frac{w(2w+1)}{5(2w+1)+8w}

    =\frac{w(2w+1)(3(2w+1)-6w)}{w(2w+1)(5(2w+1)+8w)}

    =\frac{3(2w+1)-6w}{5(2w+1)+8w}

    \frac{3}{18w+5}
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  3. #3
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    Quote Originally Posted by DivideBy0 View Post
    \frac{\frac{3}{w}-\frac{6}{2w+1}}{\frac{5}{w}+\frac{8}{2w+1}}=\frac{  \frac{3(2w+1)-6w}{w(2w+1)}}{\frac{5(2w+1)+8w}{w(2w+1)}}=\frac{3(  2w+1)-6w}{w(2w+1)} \times \frac{w(2w+1)}{5(2w+1)+8w}
    Yeaaaah I was WAY off. Why does algebra make me feel so stupid? Thank you
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  4. #4
    Senior Member DivideBy0's Avatar
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    Sorry, I accidently clicked the submit button before I was finished

    You can only get better at algebra with practice!
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  5. #5
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    Quote Originally Posted by DivideBy0 View Post
    Sorry, I accidentally clicked the submit button before I was finished

    You can only get better at algebra with practice!
    I honestly want to be better at mathematics. Its something I have had trouble with all my life. I'm so tired of people (including teachers and tutors) who treat me like I'm an idiot just because I'm not good at math. I'm so glad I found these forums!
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