Perform the division. $\frac { 12 x - 3 y + 36 z } { 12 x y }$
A) $\frac { 3 } { 4 } + \frac { 3 z } { x y }$
B) $\frac { 1 } { y } + \frac { 1 } { 4 x } + \frac { 1 } { x y }$
C) $\frac { 1 } { y } - \frac { 1 } { 4 x } + \frac { 3 } { x y }$
D) $\frac { 1 } { y } - \frac { 1 } { 4 x } + \frac { 3 z } { x y }$
E) $\frac { 4 } { y } - \frac { 4 } { 5 x } + \frac { 3 z } { x y }$

Question

Quizplus · Accepted Answer

To divide fractions, we multiply the numerator by the reciprocal of the denominator. Thus,
\begin{align*}
\frac{12x-3y+36z}{12xy}&=\frac{12x}{12xy}-\frac{3y}{12xy}+\frac{36z}{12xy}\
&=\frac{1}{y}-\frac{1}{4x}+\frac{3z}{xy}
\end{align*}
Therefore, the correct choice is D.

Perform the Division 12x−3y+36z12xy\frac { 12 x - 3 y + 36 z } { 12 x y }12xy12x−3y+36z​

Perform the Division $\frac { 12 x - 3 y + 36 z } { 12 x y }$