Use the order of operations to simplify the expression.
-$\left( \frac { 3 } { 4 } \right) ^ { 2 } \div \left( \frac { 3 } { 4 } - \frac { 1 } { 12 } \right)$
A) $\frac { 2 } { 3 }$
B) $\frac { 27 } { 32 }$
C) $\frac { 27 } { 8 }$
D) $\frac { 3 } { 8 }$

Question

Quizplus · Accepted Answer

First, simplify the exponent: $\left( \frac { 3 } { 4 } \right) ^ { 2 } = \frac { 9 } { 16 }$. Then, simplify the subtraction in the denominator: $\frac { 3 } { 4 } - \frac { 1 } { 12 } = \frac { 9 } { 12 } - \frac { 1 } { 12 } = \frac { 8 } { 12 } = \frac { 2 } { 3 }$. Finally, divide the two results: $\frac { 9 } { 16 } \div \frac { 2 } { 3 } = \frac { 9 } { 16 } \times \frac { 3 } { 2 } = \frac { 27 } { 32 }$.

Use the Order of Operations to Simplify the Expression (34)2÷(34−112)\left( \frac { 3 } { 4 } \right) ^ { 2 } \div \left( \frac { 3 } { 4 } - \frac { 1 } { 12 } \right)(43​)2÷(43​−121​)

Use the Order of Operations to Simplify the Expression $\left( \frac { 3 } { 4 } \right) ^ { 2 } \div \left( \frac { 3 } { 4 } - \frac { 1 } { 12 } \right)$