Write $\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right)$ as a multiplication problem.
A) $4 \left( \frac { 2 } { 7 } \right)$
B) $2 \left( \frac { 2 } { 7 } \right)$
C) $4 \left( \frac { 2 } { 14 } \right)$
D) $- 4 \left( \frac { 2 } { 7 } \right)$
E) -$4 \left( \frac { 2 } { 14 } \right)$

Question

Quizplus · Accepted Answer

When we add the four fractions, we get $$-\frac{2}{7} - \frac{2}{7} - \frac{2}{7} - \frac{2}{7} = -\frac{8}{7}.$$ Writing this as a multiplication problem, we have $$-4 \cdot \frac{2}{7} = -\frac{8}{7}.$$ Therefore, the best choice is D.

Write (−27)+(−27)+(−27)+(−27)\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right)(−72​)+(−72​)+(−72​)+(−72​)

Write $\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 7 } \right)$