Question

1. simplify. \\(dfrac{8x^2}{12x}\\) options: \\(dfrac{8x^2}{12}\\), \\(dfrac{2x}{3}\\), \\(dfrac{2x^2}{3}\\), \\(dfrac{2x^2}{3x}\\)

Explanation:

Step1: Factor numerator and denominator

$\frac{8x^2}{12x} = \frac{4x \cdot 2x}{4x \cdot 3}$

Step2: Cancel common factors

$\frac{\cancel{4x} \cdot 2x}{\cancel{4x} \cdot 3} = \frac{2x}{3}$

Answer:

$\frac{2x}{3}$ (Option C)