Question

Simplify

$\frac{18x^2}{24x}$

Short answer

$\frac{3x}{4}$ is the simplest form of $\frac{18x^2}{24x}$.

Step-by-step solution

Step 1. Given information

Consider, the fraction $\frac{18x^2}{24x}$ provided in the question.

Step 2. Calculation 

To obtain the simplest form of the fraction $\frac{18x^2}{24x}$, it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{c}\frac{18x^2}{24x}=\frac{2\times 3\times 3\times x\times x}{2\times 2\times 2\times 3\times x\times x}\\ \frac{18x^2}{24x}=\frac{3x}{4}\end{array}$

Hence,

$\frac{3x}{4}$is the simplest form of $\frac{18x^2}{24x}$.