Results 1 to 3 of 3

Math Help - simplifying this expression...

  1. #1
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517

    simplifying this expression...

    hey guys i only got upto the second stage of simplifying this question.
    any help.. thank u.

    <br /> <br />
(\frac {2} {y} - \frac {3y-2} {y-1}) / (\frac {y} {y-1})<br /> <br /> <br /> <br />

    Note: "/" = these two fractions over this fraction.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    Quote Originally Posted by jvignacio View Post
    hey guys i only got upto the second stage of simplifying this question.
    any help.. thank u.

    <br /> <br />
(\frac {2} {y} - \frac {3y-2} {y-1}) / (\frac {y} {y-1})<br /> <br /> <br /> <br />

    Note: "/" = these two fractions over this fraction.
    (\frac {2} {y} - \frac {3y-2} {y-1}) / (\frac {y} {y-1})

    (\frac{2(y-1)}{y^2-y} - \frac{(3y-2)y}{y^2-y} )/ (\frac {y}{y-1})

    \frac{2(y-1)-(3y-2)y}{y^2-y} / (\frac {y}{y-1})

    \frac{[2(y-1)-(3y-2)y](y-1)}{y^3-y^2}

    \frac{2(y-1)-(3y-2)y}{y^2}

    \frac{2y-2-3y^2+2y}{y^2}

    \frac{-3y^2+4y-2}{y^2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,683
    Thanks
    615
    Hello, jvignacio!

    Simplify: . \frac{\dfrac {2} {y} - \dfrac {3y-2} {y-1}} {\dfrac {y} {y-1}}

    Multiply top and bottom by y(y-1)

    . . \frac{y(y-1)}{y(y-1)} \cdot\frac{\dfrac{2}{y} - \dfrac{3y-2}{y-1}}{\dfrac{y}{y-1}} \;\;=\;\;\frac{2(y-1) - y(3y-2)}{y^2}

    . .  = \;\;\frac{2y-2 - 3y^2 + 2y}{y^2} \;\;=\;\frac{-3y^2 + 4y - 2}{y^2}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simplifying an expression.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 23rd 2010, 09:03 AM
  2. Simplifying an expression
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 8th 2009, 07:04 PM
  3. Simplifying this expression:
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 10th 2009, 10:29 PM
  4. I need help simplifying this expression...
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 17th 2008, 12:01 AM
  5. Simplifying another expression
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 16th 2008, 03:53 PM

Search Tags


/mathhelpforum @mathhelpforum