Question

Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)

Answer 1

Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)

$\dfrac{ \dfrac{3x-7}{x^2} }{ \dfrac{x^2}{2} } + \dfrac{2}{x} =\qquad \qquad x \neq 0\qquad x^4 \neq 0 \\ \\ \\ \dfrac{(3x-7)*2}{x^2*x^2}+ \dfrac{2}{x} = \\ \\ \\ \dfrac{6x-14}{x^4}+ \dfrac{2}{x} =\\ \\ \\ \dfrac{ 6x-14 }{ x^4 }+ \dfrac{2(x^3)}{x(x^3)}=\\ \\ \\ \boxed{ \dfrac{ 6x-14 +2x^3}{ x^4 } }$