Perform the operations as indicated, and express your answer in lowest terms. $\left( \frac { 4 x } { 5 y } \right) \left( \frac { 7 y } { x } \right) \left( \frac { 15 } { 16 x } \right)$
A) $\frac { 21 x } { 4 y }$
B) $\frac { 21 } { 4 x }$
C) $\frac { 4 } { 21 x }$
D) $\frac { 21 x } { 4 }$
E) $\frac { 4 x } { 21 }$

Question

Quizplus · Accepted Answer

Multiplying the fractions directly and simplifying, we get $\frac{4x}{5y} * \frac{7y}{x} * \frac{15}{16x} = \frac{4*7*15*x*x}{5*y*x*16*x} = \frac{21}{4x}$ after canceling common factors.

Perform the Operations as Indicated, and Express Your Answer in Lowest