Simplify.
-$\frac{\frac{6}{x+2}+\frac{1}{x}}{\frac{2}{x+2}+\frac{4}{x}}$
A) $\frac{7 x+2}{6 x}$
B) $\frac{7 x+12}{6 x+4}$
C) $\frac{7 x+2}{6 x+8}$
D) $\frac{9}{8}$

Question

Quizplus · Accepted Answer

To simplify the given expression, first find a common denominator for the fractions in the numerator and the denominator, which is $x(x+2)$. This gives us $\frac{\frac{6x + (x+2)}{x(x+2)}}{\frac{2x + 4(x+2)}{x(x+2)}}$. Simplifying inside the numerators gives $\frac{7x+2}{6x+8}$, which matches option C.

Simplify - 6x+2+1x2x+2+4x\frac{\frac{6}{x+2}+\frac{1}{x}}{\frac{2}{x+2}+\frac{4}{x}}x+22​+x4​x+26​+x1​​ A) 7x+26x\frac{7 x+2}{6 x}6x7x+2​ B) 7x+126x+4\frac{7 x+12}{6 x+4}6x+47x+12​ C) 7x+26x+8\frac{7 x+2}{6 x+8}6x+87x+2​

Simplify
- $\frac{\frac{6}{x+2}+\frac{1}{x}}{\frac{2}{x+2}+\frac{4}{x}}$ A) $\frac{7 x+2}{6 x}$ B) $\frac{7 x+12}{6 x+4}$ C) $\frac{7 x+2}{6 x+8}$