Perform the indicated operation and simplify. $\frac { 9 } { 10 } \times \frac { 9 } { 10 } \times \frac { 72 } { 8 } \div 81$
A) $\frac { 1 } { 100 }$
B) $\frac { 7 } { 99 }$
C) $\frac { 9 } { 100 }$
D) $\frac { 5 } { 98 }$
E) $\frac { 1 } { 98 }$

Question

Quizplus · Accepted Answer

First, simplify within the parentheses: 
$\frac { 9 } { 10 } \times \frac { 9 } { 10 } \times \frac { 72 } { 8 } \div 81 = \frac{9}{10} \times \frac{9}{10} \times \frac{9}{1} = \frac{729}{100}$
Then, simplify by dividing the numerator and denominator by their greatest common factor: 
$\frac{729}{100} = \frac{9 \times 81}{10 \times 9} = \frac{81}{10}$
Therefore, the best choice is C, $\frac { 9 } { 100 }$.

Perform the Indicated Operation and Simplify 910×910×728÷81\frac { 9 } { 10 } \times \frac { 9 } { 10 } \times \frac { 72 } { 8 } \div 81109​×109​×872​÷81

Perform the Indicated Operation and Simplify $\frac { 9 } { 10 } \times \frac { 9 } { 10 } \times \frac { 72 } { 8 } \div 81$