Simplify (8x)/(12x^2y)

$\frac{8 x}{12 x^{2} y}$

Step 1

Cancel the common factor of $8$ and $12$ .

Factor $4$ out of $8 x$ .

$\frac{4 (2 x)}{12 x^{2} y}$

Cancel the common factors.

Factor $4$ out of $12 x^{2} y$ .

$\frac{4 (2 x)}{4 (3 x^{2} y)}$

Cancel the common factor.

$\frac{4 (2 x)}{4 (3 x^{2} y)}$

Rewrite the expression.

$\frac{2 x}{3 x^{2} y}$

$\frac{2 x}{3 x^{2} y}$

$\frac{2 x}{3 x^{2} y}$

Step 2

Cancel the common factor of $x$ and $x^{2}$ .

Factor $x$ out of $2 x$ .

$\frac{x \cdot 2}{3 x^{2} y}$

Cancel the common factors.

Factor $x$ out of $3 x^{2} y$ .

$\frac{x \cdot 2}{x (3 x y)}$

Cancel the common factor.

$\frac{x \cdot 2}{x (3 x y)}$

Rewrite the expression.

$\frac{2}{3 x y}$

$\frac{2}{3 x y}$

$\frac{2}{3 x y}$

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