Perform the indicated operation. Simplify your answers.
-$\frac { 3 } { 2 } \div \frac { 11 } { 10 } \cdot \frac { 7 } { 12 }$
A) $\frac { 35 } { 44 }$
B) $\frac { 180 } { 77 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 77 } { 80 }$

Question

Quizplus · Accepted Answer

To solve $\frac { 3 } { 2 } \div \frac { 11 } { 10 } \cdot \frac { 7 } { 12 }$, first convert the division to multiplication by the reciprocal of the second fraction: $\frac { 3 } { 2 } \cdot \frac { 10 } { 11 } \cdot \frac { 7 } { 12 }$. Then, multiply the numerators together and the denominators together: $\frac { 3 \cdot 10 \cdot 7 } { 2 \cdot 11 \cdot 12 } = \frac { 210 } { 264 }$. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6, to get $\frac { 35 } { 44 }$.

Perform the Indicated Operation 32÷1110⋅712\frac { 3 } { 2 } \div \frac { 11 } { 10 } \cdot \frac { 7 } { 12 }23​÷1011​⋅127​

Perform the Indicated Operation $\frac { 3 } { 2 } \div \frac { 11 } { 10 } \cdot \frac { 7 } { 12 }$