Simplify the complex fraction. $\frac { \frac { 5 } { x } - \frac { 6 } { y } } { \frac { 7 } { y } - \frac { 2 } { x y } }$
A) $\frac { x - 6 y } { 7 x - 2 }$
B) $\frac { 5 y - 6 x } { 7 x - 2 }$
C) $\frac { x - 7 y } { x y ^ { 2 } }$
D) $\frac { x - 7 y } { x y }$
E) $\frac { 5 x - 6 y } { 7 - 2 x }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, we first find a common denominator for both the numerator and the denominator of the complex fraction, which is $xy$. This leads to simplification as follows: $\frac { \frac { 5y - 6x } { xy } } { \frac { 7x - 2 } { xy } }$, which simplifies further to $\frac { 5y - 6x } { 7x - 2 }$.

Simplify the Complex Fraction 5x−6y7y−2xy\frac { \frac { 5 } { x } - \frac { 6 } { y } } { \frac { 7 } { y } - \frac { 2 } { x y } }y7​−xy2​x5​−y6​​

Simplify the Complex Fraction $\frac { \frac { 5 } { x } - \frac { 6 } { y } } { \frac { 7 } { y } - \frac { 2 } { x y } }$