Results 1 to 4 of 4

Math Help - Simplifying Rational Expressions (Fractions)

  1. #1
    Newbie
    Joined
    Nov 2010
    Posts
    21

    Simplifying Rational Expressions (Fractions)

    I am having trouble with the following problem.

    1/x - 1/5
    1/x^2 - 1/25

    I know the answer ends up being:
    5x
    x+5

    How do I do the work to find this answer? Thanks!

    (Also I do know how to simplify expressions like this, it's just that the fractions are killing me)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123

    Re: Simplifying Rational Expressions (Fractions)

    Quote Originally Posted by Diesal View Post
    I am having trouble with the following problem.

    1/x - 1/5
    1/x^2 - 1/25

    I know the answer ends up being:
    5x
    x+5

    How do I do the work to find this answer? Thanks!

    (Also I do know how to simplify expressions like this, it's just that the fractions are killing me)
    I assume that you mean:

    \frac{\frac1x - \frac15}{\frac1{x^2} - \frac1{25}} = \frac{\frac1x - \frac15}{\left( \frac1x - \frac15 \right) \left( \frac1x + \frac15 \right)}

    Cancel the common term:

    \frac1{\frac1x + \frac15} = \frac1{\frac5{5x} + \frac x{5x}} = \frac1{\frac{5+x}{5x}}

    Go ahead!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,857
    Thanks
    321
    Awards
    1

    Re: Simplifying Rational Expressions (Fractions)

    I got scooped!
    Ok earboth. Just take credit for giving the correct answer. See if I care!

    -Dan
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2010
    Posts
    21

    Re: Simplifying Rational Expressions (Fractions)

    In my frustration I completely overlooked simplifying. Thank you for your help!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simplifying rational expressions!! ?
    Posted in the Algebra Forum
    Replies: 6
    Last Post: November 27th 2012, 05:19 AM
  2. Simplifying rational expressions
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 14th 2010, 10:01 PM
  3. Replies: 3
    Last Post: November 18th 2008, 11:50 AM
  4. simplifying rational expressions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 16th 2007, 06:23 AM
  5. Simplifying rational expressions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 1st 2006, 03:43 PM

Search Tags


/mathhelpforum @mathhelpforum