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Math Help - complex fractions

  1. #1
    Newbie
    Joined
    Jan 2007
    Posts
    2

    complex fractions

    not sure where this should go. I'm a middle age student returning after a long (10 yr) off math.

    I'm thinking there must be an error in my text book because I'm solving this one like the others but my results and the books don't agree.. Then again its been awhile
    Code:
                   2
    2        -    ----
                    3
    ---         ----------
    2                2
    --                  
    3
    So I then get the LCD = 3 simplify numerator and denominator by combining
    then multiply the numerator by the reciprocal of the denominator

    Code:
    4/3
    ----
    -4/3
    
    4/3 * -3/4 = -12/12 or -1
    Am I missing something here?

    Here is what the book shows

    [code]

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

    Ohhh!! I think I see the problem.. I'm working with 2 complex fractions... Now it makes sense
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  2. #2
    Senior Member
    Joined
    Apr 2006
    Posts
    401
    Quote Originally Posted by pcdreams View Post
    not sure where this should go. I'm a middle age student returning after a long (10 yr) off math.

    I'm thinking there must be an error in my text book because I'm solving this one like the others but my results and the books don't agree.. Then again its been awhile
    Code:
                   2
    2        -    ----
                    3
    ---         ----------
    2                2
    --                  
    3
    So I then get the LCD = 3 simplify numerator and denominator by combining
    then multiply the numerator by the reciprocal of the denominator

    Code:
    4/3
    ----
    -4/3
    
    4/3 * -3/4 = -12/12 or -1
    Am I missing something here?

    Here is what the book shows

    [code]

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

    Ohhh!! I think I see the problem.. I'm working with 2 complex fractions... Now it makes sense

    Is that 2/(2/3) - (2/3)/2?

    If so:

    2/(2/3) = 6/2 = 3

    (2/3)/2 = 1/3;

    3 - (1/3) = 9/3 - 1/3 = 8/3
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  3. #3
    Newbie
    Joined
    Jan 2007
    Posts
    2
    yep thats what I was doing wrong. I was looking at it as one fraction when it was actually two individual complex fractions.

    Thanks
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