Perform the indicated operations and simplify. $\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 3 } \right)$
A) $\frac { 1 } { 3 }$
B) $- \frac { 21 } { 22 }$
C) $\frac { 4 } { 21 }$
D) $- \frac { 20 } { 21 }$
E) $- \frac { 22 } { 23 }$

Question

Quizplus · Accepted Answer

To add these two fractions, we need a common denominator. The smallest common multiple of 7 and 3 is 21. We can convert both fractions to have a denominator of 21:
$$-\frac{2}{7} = -\frac{6}{21}$$
$$-\frac{2}{3} = -\frac{14}{21}$$
Now we can add:
$$-\frac{6}{21} - \frac{14}{21} = -\frac{20}{21}$$
Therefore, the answer is D.

Perform the Indicated Operations and Simplify (−27)+(−23)\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 3 } \right)(−72​)+(−32​)

Perform the Indicated Operations and Simplify $\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 3 } \right)$