Perform the indicated operation. Write the answer in simplest form.
-$\frac { 77 } { 9 } \cdot \frac { 27 } { 121 } \div \frac { 7 } { 11 }$
A) $\frac { 5929 } { 243 }$
B)3
C) $\frac { 1 } { 3 }$
D) $\frac { 147 } { 121 }$

Question

Quizplus · Accepted Answer

First, convert the division to multiplication by flipping the fraction after the division sign: $\frac{77}{9} \cdot \frac{27}{121} \cdot \frac{11}{7}$. Simplify by canceling common factors: $77 = 7 \cdot 11$, $121 = 11 \cdot 11$, and $27 = 3^3$. The expression simplifies to $3$, which is option B.

Perform the Indicated Operation 779⋅27121÷711\frac { 77 } { 9 } \cdot \frac { 27 } { 121 } \div \frac { 7 } { 11 }977​⋅12127​÷117​

Perform the Indicated Operation $\frac { 77 } { 9 } \cdot \frac { 27 } { 121 } \div \frac { 7 } { 11 }$