Change the fraction $\frac { 4 y } { p }$ into an equivalent fraction with the denominator p ²+ p . A) $\frac { 4 y ( p + 1 ) } { p + 1 }$ B) $\frac { 4 y \left( p ^ { 2 } + p \right) } { p + 1 }$ C) $\frac { 4 y ( p + 1 ) } { p ^ { 2 } + p }$ D) $\frac { 4 y \left( p ^ { 2 } + p \right) } { p ^ { 2 } + p }$ E)none of these.

Question

Quizplus · Accepted Answer

To change the denominator to $p^2+p$, we need to multiply both the numerator and denominator by $p+1$ since $(p+1)(p)=p^2+p$.
$$\frac{4y}{p}=\frac{4y(p+1)}{p(p+1)}=\frac{4y(p+1)}{p^2+p}$$
So the equivalent fraction with denominator $p^2+p$ is $\frac{4y(p+1)}{p^2+p}$, which is choice C.

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Change the Fraction $\frac { 4 y } { p }$