Simplify the complex fraction.
-$\frac{2 x+\frac{4}{x}}{\frac{1}{3 x^{2}}+\frac{1}{6}}$

A) $\frac{12 x\left(x^{2}+2\right)}{\left(x^{2}+1\right)}$

B) $12 x$

C) $\frac{12}{x}$

D) $6 x$

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

Simplify the complex fraction.
-$\frac{2 x+\frac{4}{x}}{\frac{1}{3 x^{2}}+\frac{1}{6}}$

A) $\frac{12 x\left(x^{2}+2\right)}{\left(x^{2}+1\right)}$

B) $12 x$

C) $\frac{12}{x}$

D) $6 x$

Quizplus · Accepted Answer

The complex fraction simplifies to $12x$ by finding a common denominator for the terms in the denominator and simplifying.

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​​ A) 12x(x2+2)(x2+1)\frac{12 x\left(x^{2}+2\right)}{\left(x^{2}+1\right)}(x2+1)12x(x2+2)​ B) 12x12 x12x

Simplify the Complex Fraction $\frac{2 x+\frac{4}{x}}{\frac{1}{3 x^{2}}+\frac{1}{6}}$ A) $\frac{12 x\left(x^{2}+2\right)}{\left(x^{2}+1\right)}$ B) $12 x$