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

Question

Quizplus · Accepted Answer

The numerator simplifies to $\frac{15}{4}$ and the denominator simplifies to $\frac{9}{4}$. Dividing these gives $\frac{15}{4} \div \frac{9}{4} = \frac{15}{4} \times \frac{4}{9} = \frac{15}{9} = \frac{5}{3}$.

Simplify the Complex Fraction 72+1412+74\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }21​+47​27​+41​​

Simplify the Complex Fraction $\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }$