Q. 9 - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

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

Step 1 . Given information

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

We have to simplify the given rational expression.

Step 2 . 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 is $$\begin{gathered} \frac{8n-96}{3n-36}=\frac{8(n-2)}{3(n-12)} ,3n\ne 36 \\ =\frac{8}{3} \end{gathered}$$