Results 1 to 2 of 2

Math Help - algebraic fractions

  1. #1
    Newbie
    Joined
    Jun 2009
    Posts
    3

    algebraic fractions

    Please help me simplify this.

    \frac{1}{x}+\frac{2}{x+1}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    May 2009
    Posts
    471
    Quote Originally Posted by roger federer View Post
    Please help me simplify this.

    \frac{1}{x}+\frac{2}{x+1}
    Well as you know, to add fractions we need a common denominator, the easiest thing to do when you have polynomials in the denominator is to create a common denominator by multiplying them together, so for this problem, our common denominator will be x(x+1)

    Also remember, that we can multiply things by 1 without changing their value, so we are going to multiply by 1 in a special way

    \frac{1}{x}+\frac{2}{x+1}=\frac{1}{x}*\frac{x+1}{x  +1}+\frac{2}{x+1}*\frac{x}{x} all we did was multiply each fraction by 1, but in a special form

    So now lets expand, \frac{x+1}{x(x+1)}+\frac{2x}{x(x+1)}

    And now we can add the two fractions, =\frac{x+1+2x}{x(x+1)}=\frac{3x+1}{x(x+1)}

    I consider that as simple as possible, though some might want to multiply the denominator out, yielding \frac{3x+1}{x^2+x}
    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: 22
    Last Post: January 21st 2011, 10:44 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. Algebraic fractions
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 13th 2008, 12:57 AM

Search Tags


/mathhelpforum @mathhelpforum