37.4k views
3 votes
Simplify the complex fraction (x/x+4)/[(1/x)+(1/(x+4))]

User Xorinzor
by
7.2k points

1 Answer

3 votes


\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
by
7.9k points

No related questions found