Results 1 to 4 of 4

Math Help - Division Review Problem

  1. #1
    Junior Member
    Joined
    Nov 2012
    From
    Michigan
    Posts
    27
    Thanks
    1

    Division Review Problem

    Hello all, I was doing some review of complex fractions but I am not sure if I did this one right, please let me know if, or where, I went wrong. I also wanted to practice using latex some more. Thanks!
    Reduce to lowest terms:

    \frac{y-\frac{1}{y}}{1-\frac{1}{y}} = \frac{\frac{y^2-1}{y}}{\frac{y-1}{y}} = \frac{y^2-1}{y}*\frac{y}{y-1} = \frac{y^3-y}{y^2-y}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Nov 2012
    From
    Michigan
    Posts
    9
    Thanks
    2

    Re: Division Review Problem

    When you flipped the fraction in the denominator, you can cancel both terms out. Try factoring the numerator at this step (a difference of squares):
    \frac{y^2-1}{y}*\frac{y}{y-1}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Division Review Problem

    I would simply multiply the fraction by 1=\frac{y}{y}:

    \frac{y-\frac{1}{y}}{1-\frac{1}{y}}\cdot\frac{y}{y}=\frac{y^2-1}{y-1}=\frac{(y+1)(y-1)}{y-1}=y+1
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Nov 2012
    From
    Michigan
    Posts
    27
    Thanks
    1

    Re: Division Review Problem

    oh that's right, thanks a lot. I always miss those because at first glance it looks prime.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 29th 2012, 05:57 PM
  2. Please Review Mechanics slope problem
    Posted in the Math Challenge Problems Forum
    Replies: 2
    Last Post: October 15th 2012, 12:12 PM
  3. Review answer to simplification problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 25th 2012, 10:13 PM
  4. A problem on the review set
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 19th 2010, 06:10 PM
  5. Limits review problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 9th 2010, 08:09 PM

Search Tags


/mathhelpforum @mathhelpforum