Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$
A) -7
B) 7
C) -5
D) 5
E) 13

Question

Quizplus · Accepted Answer

To simplify the complex fraction, we need to first simplify the numerator and denominator. The numerator is $\frac{3}{4} + \frac{1}{2} = \frac{3}{4} + \frac{2}{4} = \frac{5}{4}$. The denominator is $\frac{3}{4} - \frac{1}{2} = \frac{3}{4} - \frac{2}{4} = \frac{1}{4}$. So the original fraction becomes $\frac{\frac{5}{4}}{\frac{1}{4}} = \frac{5}{4} \cdot \frac{4}{1} = 5$. Therefore, the answer is D.

Simplify the Complex Fraction 34+1234−12\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }43​−21​43​+21​​

Simplify the Complex Fraction $\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$