Question

Simplify the rational expression$\frac{8n-96}{3n-36}$.

Short answer

Simplified form of$\frac{8n-96}{3n-36}is\frac{8}{3},where3n\ne 36$

Step-by-step solution

. Given information

Given rational expression is $\frac{8n-96}{3n-36}$.

We have to simplify the given rational expression.

. Simplification of the rational expression

Here rational expression is $\frac{8n-96}{3n-36}$. To simplify first take out common factor separately from numerator and denominator and then divide out

so simplified form of the given rational expression islocalid="1644831543808" $$\begin{gathered} \frac{8n-96}{3n-36}=\frac{8(n-2)}{3(n-12)},3n\ne 36 \\ =\frac{8}{3} \end{gathered}$$