Results 1 to 6 of 6

Math Help - simplifing algebraic fractions

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    2

    simplifing algebraic fractions

    can anyone simplify this for me or possibly run me through how to simplify it?

    4x + 2 / x + 4x + 3 * x + 3 / 7x + 5

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1
    Quote Originally Posted by ajwatson88 View Post
    [FONT='Times New Roman','serif']can anyone solve this for me or possibly run me through how to solve it? [/font]

    [FONT='Times New Roman','serif']4x + 2 / x + 4x + 3 * x + 3 / 7x + 5[/font]

    [FONT='Times New Roman','serif']Thank you[/font]
    Is this supposed to be
    \frac{4x + 2}{x^2 + 4x + 3} \cdot \frac{x + 3}{7x + 5}?

    Then the above is equal to:
    = \frac{2(2x + 1)}{(x + 1)(x + 3)} \cdot \frac{x + 3}{7x + 5}

    Notice the common x + 3 in the numerator and denominator. So....
    = \frac{2(2x + 1)}{x + 1} \cdot \frac{1}{7x + 5}

    = \frac{2(2x + 1)}{(x + 1)(7x + 5)}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    Quote Originally Posted by ajwatson88 View Post
    can anyone simplify this for me or possibly run me through how to simplify it?

    4x + 2 / x + 4x + 3 * x + 3 / 7x + 5

    Thank you
    hi,
    please try to group your expressions.. thanks..

    anyways, it was already answered..
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1
    Quote Originally Posted by kalagota View Post
    hi,
    please try to group your expressions.. thanks..

    anyways, it was already answered..
    Only if my guess was right. I really wish we could post a sticky about using parenthesis and that it would have even a little effect. But I doubt it would even be read. (sigh)

    -Dan
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Nov 2007
    Posts
    2

    another question

    im not entily sure how to group the expressions but ill give it a go.

    could anyone help me with this as well

    3___ . 2x + 4
    x + 2 x

    thanks again
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,211
    Thanks
    419
    Awards
    1
    Quote Originally Posted by ajwatson88 View Post
    im not entily sure how to group the expressions but ill give it a go.

    could anyone help me with this as well

    3___ . 2x + 4
    x + 2 x

    thanks again
    As with the last example, start by factoring:
    \frac{3}{x + 2} \cdot \frac{2x + 4}{x} = \frac{3}{x + 2} \cdot \frac{2(x + 2)}{x}

    As for how to write it, what we were referring to was writing your expressions something like this:
    3/(x + 2) times (2x + 4)/x

    as opposed to
    3/x + 2 times 2x + 4/x
    which is confusing.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. lcm of algebraic fractions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 3rd 2011, 01:38 PM
  2. Algebraic Fractions
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 2nd 2010, 06:10 PM
  3. Replies: 0
    Last Post: April 28th 2010, 10:53 AM
  4. Algebraic Fractions
    Posted in the Algebra Forum
    Replies: 5
    Last Post: August 11th 2008, 04:09 PM
  5. simplifing fractions over fractions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 16th 2007, 02:57 PM

Search Tags


/mathhelpforum @mathhelpforum