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Simplify the complex fraction (x/x+4)/[(1/x)+(1/(x+4))]

Simplify the complex fraction (x/x+4)/[(1/x)+(1/(x+4))]
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Simplify the complex fraction (x/x+4)/[(1/x)+(1/(x+4))]

User Xorinzor
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\cfrac{~~ ( x )/(x+4 ) ~~}{(1)/(x)+(1)/(x+4)}\implies \cfrac{~~ ( x )/(x+4 ) ~~}{(x+4~~ + ~~x)/(x(x+4))}\implies \cfrac{~~ ( x )/(x+4 ) ~~}{(2x+4)/(x(x+4))}\implies \cfrac{x}{x+4}\cdot \cfrac{x(x+4)}{2x+4}\implies \cfrac{x^2}{2x+4}

User Ratkok
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