Simplify the complex fraction.
-$$\frac { 2 x + \frac { 4 } { x } } { \frac { 1 } { 3 x ^ { 2 } } + \frac { 1 } { 6 } }$$
A) $\frac { 12 } { x }$
B) $\frac { 12 x \left( x ^ { 2 } + 2 \right) } { \left( x ^ { 2 } + 1 \right) }$
C) $6 x$
D) $12 x$

Question

Quizplus · Accepted Answer

To simplify the complex fraction, find a common denominator for the terms in the numerator and the denominator. The numerator becomes $\frac{2x^2 + 4}{x}$ and the denominator becomes $\frac{2 + 3x^2}{6x^2}$. Simplifying gives $\frac{12x(2x^2 + 4)}{2 + 3x^2}$, which simplifies further to $12x$.

Simplify the Complex Fraction 2x+4x13x2+16\frac { 2 x + \frac { 4 } { x } } { \frac { 1 } { 3 x ^ { 2 } } + \frac { 1 } { 6 } }3x21​+61​2x+x4​​

Simplify the Complex Fraction $\frac { 2 x + \frac { 4 } { x } } { \frac { 1 } { 3 x ^ { 2 } } + \frac { 1 } { 6 } }$