Results 1 to 5 of 5

Math Help - Simple Algebra...

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    51

    Simple Algebra...

    I feel really stupid asking this question, but im trying to help a friend do this problem, yet I dont know how to do it. I am sure it is something easy, and maybe if I saw it, it would click, but right now, im stumped.

    solve for m

    \frac {2}{m+1} = \frac {3}{2m+3}

    first, I tried splitting them up, like so:

    \frac {2}{m} +2 = \frac {3}{2m} +1

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

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by BCHurricane89 View Post
    I feel really stupid asking this question, but im trying to help a friend do this problem, yet I dont know how to do it. I am sure it is something easy, and maybe if I saw it, it would click, but right now, im stumped.

    solve for m

    \frac {2}{m+1} = \frac {3}{2m+3}

    first, I tried splitting them up, like so:

    \frac {2}{m} +2 = \frac {3}{2m} +1

    \frac {2}{m} = \frac {3}{2m} -1
    you cannot split fractions like that!

    anyway, multiply the equation through by the LCD of the denominators, namely (m + 1)(2m + 3). now continue


    and remember, in general, \frac a{b + c} \ne \frac ab + \frac ac. never make that mistake again
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2008
    Posts
    51
    wow, I could've sworn you could split the fraction like that, I swear we did that before...hmm, oh wait nvm...thats when we had like

    \frac {2m+2}{3} then we could split it
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by BCHurricane89 View Post
    wow, I could've sworn you could split the fraction like that, I swear we did that before...hmm, oh wait nvm...thats when we had like

    \frac {2m+2}{3} then we could split it
    yes, this can be split into \frac {2m}3 + \frac 23

    the denominator has to stay intact. you may separate the terms of the numerator, but make sure you put each over the whole denominator.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Oct 2008
    Posts
    51
    Quote Originally Posted by BCHurricane89 View Post
    wow, I could've sworn you could split the fraction like that, I swear we did that before...hmm, oh wait nvm...thats when we had like

    \frac {2m+2}{3} then we could split it
    Exactly, you can split when the numerator is a sum. This because taking the GCD of the two new denominators and joining back the fractions lead you to the same place you started.

    However, this is not true with denominators. There's the Partial Fractions method to deal with them, but you usually don't need them in this context.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simple algebra?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 8th 2011, 06:27 AM
  2. Simple algebra
    Posted in the Algebra Forum
    Replies: 4
    Last Post: May 21st 2010, 09:30 AM
  3. Simple Algebra
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 16th 2009, 04:40 AM
  4. simple algebra
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 15th 2008, 02:02 PM
  5. Simple algebra
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 10th 2008, 08:17 AM

Search Tags


/mathhelpforum @mathhelpforum