Results 1 to 4 of 4

Math Help - [SOLVED] How can the answer to this be 1 over 3?

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    16

    [SOLVED] How can the answer to this be 1 over 3?

    Can you guys/gals help me please? I'm studying for the GMAT exam and the book I have says that the answer to this:



    I know it's blurry:

    4 1
    - -
    5 8
    --- ---
    3 2
    - -
    5 3
    --------------
    3
    -
    4


    The book says the answer is :

    1
    ---
    3

    I keep coming up with:

    3
    ---
    100
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Feb 2008
    From
    Westwood, Los Angeles, CA
    Posts
    176
    Thanks
    1
    Start with the first set of parentheses on top:

    \frac {\frac{4}{5}}{\frac{3}{5}}

    So we're dividing fractions - we're dividing \frac{4}{5} by \frac{3}{5}.

    Remember that when we divide by a fraction, the way to do it is to actually multiply by the reciprocal, so that first set of parentheses turns into:

    \frac{4}{5} \times \frac{5}{3} = \frac{4}{3}.

    Similarly, the second set of parentheses in the numerator, changing division to multiplication again, turns into:

    \frac{1}{8} \times \frac{3}{2} = \frac{3}{16}.

    Now, our numerator is \frac{4}{3} \times \frac{3}{16} = \frac{1}{4}.

    Our problem now looks like:

    \frac {\frac{1}{4}}{\frac{3}{4}}.

    Again, we're dividing by a fraction, so let's multiply by the reciprocal:

    \frac {1}{4} \times \frac{4}{3} = \frac{1}{3}.

    And that's it. With complicated problems like these, just deal with one thing at a time - simplify inside each set of parentheses first. Then, treat the numerator as if it is its own set of parentheses, so simplify that. Lastly, deal with combining the numerator and denominator appropriately.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    \frac{\frac{\frac{4}{5}\frac{1}{8}}{\frac{3}{5}\fr  ac{2}{3}}}{\frac{3}{4}}=\frac{\frac{\frac{1}{10}}{  \frac{2}{5}}}{\frac{3}{4}}=\frac{\frac{1}{4}}{\fra  c{3}{4}}=\frac{1}{3}
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Apr 2008
    Posts
    16
    Dividing!!! Aaagghhhh!!!!

    I've been looking at this book for so long I've been multiplying!

    Thanks all, seriously, thank you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] How to answer this question
    Posted in the Calculus Forum
    Replies: 11
    Last Post: September 25th 2009, 05:10 AM
  2. Replies: 1
    Last Post: May 25th 2009, 10:07 AM
  3. [SOLVED] which is the correct answer ?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 5th 2009, 09:45 AM
  4. [SOLVED] Have I got the right answer?
    Posted in the Algebra Forum
    Replies: 0
    Last Post: July 26th 2008, 07:37 AM
  5. [SOLVED] Confirm my answer too please!
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 8th 2008, 03:28 PM

Search Tags


/mathhelpforum @mathhelpforum