Evaluate the complex fraction. $\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|$
A) $1 \frac { 1 } { 4 }$
B) $1 \frac { 1 } { 5 }$
C) $\frac { 6 } { 7 }$
D) $\frac { 4 } { 5 }$
E) $\frac { 5 } { 6 }$

Question

Quizplus · Accepted Answer

First, simplify the complex fraction inside the absolute value. 
$$\frac { 2 \left( \frac { 1 } { 2 } \right)}{\frac { 3 } { 4 } - \frac { - 1 } { 2 }} = \frac {1}{1} = 1$$
Therefore, 
$$\left| \frac { 2 \left( \frac { 1 } { 2 } \right)}{\frac { 3 } { 4 } - \frac { - 1 } { 2 }} \right| = |1| = 1.$$
Thus, the answer is choice D.

Evaluate the Complex Fraction ∣2(12)34−−12∣\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|​43​−2−1​2(21​)​​

Evaluate the Complex Fraction $\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|$