Simplify (2x^2)/y*y/(6x)

$\frac{2 x^{2}}{y} \cdot \frac{y}{6 x}$

Step 1

Combine.

$\frac{2 x^{2} y}{y (6 x)}$

Step 2

Cancel the common factor of $2$ and $6$ .

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

$\frac{2 (x^{2} y)}{y (6 x)}$

Cancel the common factors.

Factor $2$ out of $y (6 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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

Cancel the common factors.

Factor $x$ out of $y (3 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $y$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{x}{3}$

$\frac{x}{3}$

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