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algebra 2 help please would appreciate

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3+(2x/x+4) divide x/x+4
please simplify the complex fraction thank you show work

  • algebra 2 help please would appreciate -

    2 x / x = 2

    x / x = 1


    [ 3 + ( 2 x / x + 4 ) ] / ( x / x + 4 )=

    ( 3 + 2 + 4 ) / ( 1 + 4 ) = 9 / 5

  • algebra 2 help please would appreciate -

    Or, assuming the usual carelessness with parentheses,

    (3+(2x/(x+4))) / (x/(x+4))
    (3(x+4)+2x)/(x+4) / (x/(x+4))
    (3x+12+2x)/x
    (5x+12)/x
    5 + 12/x

    Or even

    (3+2x)/(x+4) / x/(x+4)
    (3+2x)/x

    Or,

    3 + (2x/(x+4)) / (x/(x+4))
    3 + 2x/x
    3+2
    5

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