Simplify the complex fraction using Method 1.
-$\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }$
A) $\frac { 6 ( 1 + a ) } { 1 - a }$
B) $\frac { 1 + a } { 1 - a }$
C) $\frac { a ^ { 2 } } { 6 - a ^ { 2 } }$
D) $6 - a ^ { 2 }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, first find a common denominator for the numerator and the denominator, which is $a$. This gives us $\frac { \frac { 6 + 6a } { a } } { \frac { 6 - 6a } { a } }$. Simplifying inside the fractions gives $\frac { 6 + 6a } { 6 - 6a }$. Factoring out the 6 from both the numerator and the denominator, we get $\frac { 1 + a } { 1 - a }$, which matches choice B.

Simplify the Complex Fraction Using Method 1 6a+66a−6\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }a6​−6a6​+6​

Simplify the Complex Fraction Using Method 1 $\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }$