Rewrite the rational expression as an equivalent rational expression with the given denominator.
-$\frac { x } { x + 2 } = \frac { } { 5 x + 10 }$
A) $\frac { x } { 5 x + 10 }$
B) $\frac { 5 x } { 5 x + 10 }$
C) $\frac { 5 } { 5 x + 10 }$
D) $\frac { 2 x } { 5 x + 10 }$

Question

Quizplus · Accepted Answer

The given denominator $5x + 10$ is equivalent to $5(x + 2)$. To rewrite $\frac{x}{x + 2}$ with this denominator, multiply both the numerator and denominator of the original fraction by 5, resulting in $\frac{5x}{5(x + 2)}$, which simplifies to $\frac{5x}{5x + 10}$.

Rewrite the Rational Expression as an Equivalent Rational Expression with the Given