Results 1 to 4 of 4

Math Help - Help in simplifying

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    54

    Help in simplifying

    Good morning I tried to simplify the problem below and I am getting some weird results can anyone help me break this down ( simplify in detail )

    1/ 1/a + 1/b=

    thank you in advance.
    Last edited by AlgebraicallyChallenged; January 7th 2009 at 05:34 AM. Reason: unclear problem
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by AlgebraicallyChallenged View Post
    Good morning I tried to simplify the problem below and I am getting some weird results can anyone help me break this down ( simplify in detail )

    1/ 1/a + 1/b=

    thank you in advance.
    Do you mean:

    \dfrac1{\frac1a} + \dfrac1b= If so:

    \dfrac1{\frac1a} + \dfrac1b= a+ \dfrac1b = \dfrac{ab}b + \dfrac1b =\dfrac{ab+1}b
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2009
    Posts
    145
    Quote Originally Posted by AlgebraicallyChallenged View Post
    Good morning I tried to simplify the problem below and I am getting some weird results can anyone help me break this down ( simplify in detail )

    1/ 1/a + 1/b=

    thank you in advance.

    1/1/a is the same thing as writing 1 divided by 1/a. When we divide by a fraction, we multiply by its reciprocal, so the operation becomes 1 * a which is just a.

    Now we have a + 1/b. In order to add these two, we have to have a common denominator. Since b is the lowest common denominator, multiply both the numerator and denominator of all terms by b.

    (ab)/b + 1/b = (ab+1)/b
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,867
    Thanks
    745
    Hello, AlgebraicallyChallenged!

    Simplify: . \frac{1}{\frac{1}{a} + \frac{1}{b}}
    Multiply by \frac{ab}{ab}

    . . \frac{ab}{ab}\cdot\frac{1}{\dfrac{1}{a}+\dfrac{1}{  b}} \;=\;\frac{ab(1)}{{\color{red}\rlap{/}}ab\left(\dfrac{1}{{\color{red}\rlap{/}}a}\right) + a{\color{red}\rlap{/}}b\left(\dfrac{1}{{\color{red}\rlap{/}}b}\right)} . =\;\;\frac{ab}{b + a}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help Simplifying
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 12th 2009, 09:01 AM
  2. Help simplifying
    Posted in the Algebra Forum
    Replies: 3
    Last Post: September 12th 2009, 05:51 AM
  3. simplifying
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 5th 2008, 11:34 AM
  4. Need help simplifying
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 20th 2007, 06:04 PM
  5. simplifying sin and cos
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: November 5th 2007, 10:58 AM

Search Tags


/mathhelpforum @mathhelpforum