Question

Simplify the rational expression$\frac{12p-240}{5p-100}.$

Short answer

The simplified form of the ration expression$\frac{12p-240}{5p-100}is\frac{12}{5},5p\ne 100$

Step-by-step solution

. Given information

Given rational expression is $\frac{12p-240}{5p-100}.$

We have to simplify the given expression.

Step 2. Simplification of rational expression.

To simplify the rational expression $\frac{12p-240}{5p-100}$, first take out the common factor separately from both numerator and denominator and then divide out .

Hence the simplified form of the expression$$\begin{gathered} \frac{12p-240}{5p-100}=\frac{12(p-20)}{5(p-20)},p\ne 20 \\ =\frac{12}{5} \end{gathered}$$