Simplify the complex fraction.
-$\frac{\frac{1}{x}-2}{\frac{1}{x}-6}$

A) $\frac{1-2 x}{1-6 x}$

B) $\frac{1-6 x}{1-2 x}$

C) $\frac{x-6}{x-2}$

D) $\frac{x-2}{x-6}$

Question

Simplify the complex fraction.
-$\frac{\frac{1}{x}-2}{\frac{1}{x}-6}$

A) $\frac{1-2 x}{1-6 x}$

B) $\frac{1-6 x}{1-2 x}$

C) $\frac{x-6}{x-2}$

D) $\frac{x-2}{x-6}$

Quizplus · Accepted Answer

To simplify the complex fraction, multiply both the numerator and the denominator by $x$, the least common denominator (LCD) of the fractions within. This gives $\frac{x(1/x)-2x}{x(1/x)-6x} = \frac{1-2x}{1-6x}$.

Simplify the Complex Fraction 1x−21x−6\frac{\frac{1}{x}-2}{\frac{1}{x}-6}x1​−6x1​−2​ A) 1−2x1−6x\frac{1-2 x}{1-6 x}1−6x1−2x​ B) 1−6x1−2x\frac{1-6 x}{1-2 x}1−2x1−6x​

Simplify the Complex Fraction $\frac{\frac{1}{x}-2}{\frac{1}{x}-6}$ A) $\frac{1-2 x}{1-6 x}$ B) $\frac{1-6 x}{1-2 x}$