Simplify the complex fraction.
-$\frac { \frac { 10 } { a } + 10 } { \frac { 10 } { a } - 10 }$
A) $10 - a ^ { 2 }$
B) $\frac { 10 ( 1 + a ) } { 1 - a }$
C) $\frac { 1 + a } { 1 - a }$
D) $\frac { a ^ { 2 } } { 10 - a ^ { 2 } }$

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 $\frac { \frac { 10 + 10a } { a } } { \frac { 10 - 10a } { a } }$. Simplifying inside the fractions gives $\frac { 10 + 10a } { 10 - 10a }$. Factoring out the common factor of 10 in both the numerator and the denominator gives $\frac { 1 + a } { 1 - a }$, which matches choice C.

Simplify the Complex Fraction 10a+1010a−10\frac { \frac { 10 } { a } + 10 } { \frac { 10 } { a } - 10 }a10​−10a10​+10​

Simplify the Complex Fraction $\frac { \frac { 10 } { a } + 10 } { \frac { 10 } { a } - 10 }$