Complete the operation and simplify if necessary. $- \frac { 3 } { 21 } - \frac { 2 } { 3 }$
A) $- \frac { 17 } { 21 }$
B) $\frac { 11 } { 21 }$
C) $- \frac { 1 } { 21 }$
D) $\frac { 17 } { 21 }$
E) $- \frac { 17 } { 3 }$

Question

Quizplus · Accepted Answer

First, simplify $-\frac{3}{21}$ to $-\frac{1}{7}$. Then, find a common denominator for $-\frac{1}{7}$ and $-\frac{2}{3}$, which is 21. Convert both fractions: $-\frac{1}{7} = -\frac{3}{21}$ and $-\frac{2}{3} = -\frac{14}{21}$. Adding these gives $-\frac{3}{21} - \frac{14}{21} = -\frac{17}{21}$.

Complete the Operation and Simplify If Necessary −321−23- \frac { 3 } { 21 } - \frac { 2 } { 3 }−213​−32​

Complete the Operation and Simplify If Necessary $- \frac { 3 } { 21 } - \frac { 2 } { 3 }$