Perform the indicated operation and reduce the answer to lowest terms.
-$\frac { 5 } { 7 } - \frac { 1 } { 6 } - \frac { 11 } { 12 }$
A) $\frac { 31 } { 84 }$
B) $- \frac { 31 } { 84 }$
C) $\frac { 2 } { 3 }$
D) $- \frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

To subtract fractions, they must have a common denominator. The least common multiple (LCM) of 7, 6, and 12 is 84. Convert each fraction: $\frac{5}{7} = \frac{60}{84}, \frac{1}{6} = \frac{14}{84}, \frac{11}{12} = \frac{77}{84}$. Then, $\frac{60}{84} - \frac{14}{84} - \frac{77}{84} = -\frac{31}{84}$.

Perform the Indicated Operation and Reduce the Answer to Lowest 57−16−1112\frac { 5 } { 7 } - \frac { 1 } { 6 } - \frac { 11 } { 12 }75​−61​−1211​

Perform the Indicated Operation and Reduce the Answer to Lowest $\frac { 5 } { 7 } - \frac { 1 } { 6 } - \frac { 11 } { 12 }$