Need math problem help!!

  1. Hey all! A co-worker of mine is studying for her GREs. She is stuck on a math problem. She has asked over 6 co-workers(including me) and a physician and no one has had any luck with the problem. If anyone could figure it out showing their work, we would be very appreciative.

    5∕6 + 3∕2 +2
    ―――――-----
    1/3 + 4/9 + 4

    I hope that everyone can follow the way I typed the problem. I am unsure how else to type it, as I don't know how to insert fractions.

    The answer is:
    39/43

    We just need someone to show their work and explain how to get to the answer.
    Thanks in advance
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  2. 6 Comments

  3. by   kukukajoo
    Do you mean five sixths plus three seconds plus two OVER (divided by) one third plus four ninths plus four?
  4. by   bandas
    Ok, this is how I would do it.

    First worry about the first part of the equation. Take 5/6 and 3/2 and 2 and find the smallest common denominator. Which in this case is 6, this is so the fractions will all have the same bottom number. So the fractions become 5/6, 9/6, and 12/6. Then you add these together by adding the top numbers of the fractions to get 26/6 and then reduce that to get 13/3.

    So 5/6 + 3/2 + 2 = 5/6 + 9/6 + 12/6 = 26/6 which you could reduce down to 13/3
    Now the first part is done.

    Then do the next part of the equation the same way
    1/3 + 4/9 + 4 = 3/9 + 4/9 + 36/9 = 43/9

    So now you have :
    13/3 divided by 43/9

    To divide fractions you have to multiply the reciprocal
    so take 13/3 * 9/43
    and multiply top # by top # and bottom # by bottom #. You will get 117/129 which will reduce down to 39/43 when you find the greatest common factor, which is 3.

    Hope I helped some.
  5. by   KR
    Fabulous and thanks for the quick reply! Right on.
  6. by   Freedom42
    This must be done as two separate problems. First, add the fractions in the numerator:

    5/6 + 3/2 + 2/1

    Establish the least common denominator (here it is 6) and convert the fractions to that denomination (e.g., 3/2 = 9/6). Now your problem becomes:

    5/6 + 9/6 +12/6 = 26/6

    Now perform the same operation with the fractions in the denominator:

    1/3 + 4/9 +4/1.

    The least common denominator is 9, so your problem becomes:

    3/9 + 4/9 + 36/9 = 43/9.

    Now we have the problem:

    26/6 divided by 43/9.

    When you divide fractions, you invert the second fraction and multiply. So your problem becomes:

    26/6 X 9/43.

    The denominator of 6 and the numerator of 9 share a common factor of 3, so you can reduce them by dividing them by 3. Now your problem becomes:

    26/2 X 3/43 = 78/36.

    Can you simplify your answer? Yes, by dividing each number by two. The simplified fraction is:

    39/43.
  7. by   KIAN
    5/6 + 3/2 + 2/1 = 5/6 + 9/6 + 12/6 = 26/6
    1/3 + 4/9 + 4/1 = 3/9 + 4/9 + 36/9 = 43/9
    So now we have 26/6 divided by 43/9. This is solved by inverting the number on the bottom (demoninator) and multiply.
    26/6 x 9/43 = 234/258 and reduce to lowest common denominator.
    Answer is 39/43.
    Hope this helps. :wink2:
  8. by   mak0076
    5/6 + 3/2 + 2/1 = 13/3

    1/3 + 4/9 + 4/1 = 43/9

    =(13/3) / (43/9)

    so, 13/3 x 9/43 =39/43

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