Multiply as indicated, and express your answer in reduced form. $\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)$
A) $\frac { 1 } { 24 }$
B) $- \frac { 5 } { 6 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 5 } { 6 }$
E) $- \frac { 1 } { 6 }$

Question

Quizplus · Accepted Answer

First, reduce the fractions: $-\frac{4}{14} = -\frac{2}{7}$ and $-\frac{14}{24} = -\frac{7}{12}$. Multiplying these gives $\frac{2}{7} \cdot \frac{7}{12} = \frac{1}{6}$, since the negatives cancel out and $2 \cdot 7$ and $7 \cdot 12$ simplify to $1 \cdot 1$ and $1 \cdot 6$, respectively.

Multiply as Indicated, and Express Your Answer in Reduced Form (−414)(−1424)\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)(−144​)(−2414​)

Multiply as Indicated, and Express Your Answer in Reduced Form $\left( - \frac { 4 } { 14 } \right) \left( - \frac { 14 } { 24 } \right)$