Perform the operation and reduce the answer to lowest terms.
-$21 \frac { 3 } { 4 } - 14 \frac { 1 } { 6 }$
A) $\frac { 1 } { 12 }$
B) $\frac { 12 } { 91 }$
C) $7 \frac { 7 } { 12 }$
D) $45 \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $21 \frac{3}{4} = \frac{87}{4}$ and $14 \frac{1}{6} = \frac{85}{6}$. To subtract, find a common denominator, which is 12 in this case. So, $\frac{87}{4} = \frac{261}{12}$ and $\frac{85}{6} = \frac{170}{12}$. Subtracting these gives $\frac{261}{12} - \frac{170}{12} = \frac{91}{12}$, which simplifies to $7 \frac{7}{12}$.

Perform the Operation and Reduce the Answer to Lowest Terms 2134−141621 \frac { 3 } { 4 } - 14 \frac { 1 } { 6 }2143​−1461​

Perform the Operation and Reduce the Answer to Lowest Terms $21 \frac { 3 } { 4 } - 14 \frac { 1 } { 6 }$