Simplify the complex fraction.
-$$\frac { \frac { 2 } { a } + \frac { 2 } { b } } { \frac { 8 } { a b } }$$
A) $\frac { 16 b + 16 a } { a ^ { 2 } b ^ { 2 } }$
B) $\frac { b + a } { 4 }$
C) $\frac { a b } { 2 a + 2 b }$
D) $\frac { b + 2 a } { 4 }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, first find a common denominator for the numerator, which is $ab$. This gives us $\frac{2b + 2a}{ab}$ for the numerator. The denominator is already $\frac{8}{ab}$. Simplifying the complex fraction by multiplying the numerator by the reciprocal of the denominator gives $\frac{2b + 2a}{ab} \cdot \frac{ab}{8} = \frac{2(b + a)}{8} = \frac{b + a}{4}$.

Simplify the Complex Fraction 2a+2b8ab\frac { \frac { 2 } { a } + \frac { 2 } { b } } { \frac { 8 } { a b } }ab8​a2​+b2​​

Simplify the Complex Fraction $\frac { \frac { 2 } { a } + \frac { 2 } { b } } { \frac { 8 } { a b } }$