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Math Help - simplify

  1. #1
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    simplify

    2/3 - 3/4 div.by 5/8 + 2/3
    do i need to find a common denominator for the first two fractions as ell as the next two i have not done this in a while just need to remember can you show me?
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  2. #2
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    (2/3 - 3/4)
    (5/8 + 2/3)

    first lets do what is inside the parentheses (you must find a common denominator in this case 12.

    (2/3 - 3/4) = (8/12 - 9/12) = -(1/12)

    (5/8 + 2/3) = (15/24 + 16/24) = -(1/24)

    So now we have:

    -(1/12)
    -(1/24)

    the negatives cancel.

    (1/12)
    (1/24)

    and we can cross multiply

    1.....24....24
    -- * -- = ---
    12....1.....12

    so the answer is 2
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