Simplify each complex fraction. $$\frac { x + 1 - \frac { 6 } { x } } { x + 5 + \frac { 6 } { x } }$$
Assume that no denominators are 0 .
A) $\frac { x - 2 } { x + 2 }$
B) $\frac { x + 2 } { x - 2 }$
C) $\frac { x - 3 } { x + 3 }$
D) $\frac { x + 3 } { x - 3 }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, first find a common denominator for the fractions within the numerator and the denominator, which is $x$. Multiply the terms without $x$ in the denominator by $\frac{x}{x}$ to get a common denominator. Simplify both the numerator and the denominator separately, then simplify the complex fraction as a whole. The simplified form is $\frac{x-2}{x+2}$.

Simplify Each Complex Fraction x+1−6xx+5+6x\frac { x + 1 - \frac { 6 } { x } } { x + 5 + \frac { 6 } { x } }x+5+x6​x+1−x6​​

Simplify Each Complex Fraction $\frac { x + 1 - \frac { 6 } { x } } { x + 5 + \frac { 6 } { x } }$