Perform the indicated operation. Simplify your answers.
-$\left( \frac { 7 } { 8 } \right) ^ { 2 } \div \left( \frac { 7 } { 8 } - \frac { 1 } { 12 } \right)$
A)147 $\frac { 147 } { 19 }$
B) $\frac { 931 } { 1536 }$
C) $\frac { 19 } { 24 }$
D) $\frac { 147 } { 152 }$

Question

Quizplus · Accepted Answer

First, square $\frac{7}{8}$ to get $\frac{49}{64}$. Then, find the common denominator for the subtraction in the denominator, which is 24, making the subtraction $\frac{21}{24} - \frac{2}{24} = \frac{19}{24}$. Finally, divide $\frac{49}{64}$ by $\frac{19}{24}$ by multiplying by the reciprocal, resulting in $\frac{49}{64} \times \frac{24}{19} = \frac{49 \times 3}{8 \times 19} = \frac{147}{152}$.

Perform the Indicated Operation (78)2÷(78−112)\left( \frac { 7 } { 8 } \right) ^ { 2 } \div \left( \frac { 7 } { 8 } - \frac { 1 } { 12 } \right)(87​)2÷(87​−121​)

Perform the Indicated Operation $\left( \frac { 7 } { 8 } \right) ^ { 2 } \div \left( \frac { 7 } { 8 } - \frac { 1 } { 12 } \right)$