Simplify (3x^2)/2*2/(9x)

$\frac{3 x^{2}}{2} \cdot \frac{2}{9 x}$

Step 1

Combine.

$\frac{3 x^{2} \cdot 2}{2 (9 x)}$

Step 2

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3 x^{2} \cdot 2$ .

$\frac{3 (x^{2} \cdot 2)}{2 (9 x)}$

Cancel the common factors.

Factor $3$ out of $2 (9 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $x$ out of $x^{2} \cdot 2$ .

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

Cancel the common factors.

Factor $x$ out of $2 (3 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{x}{3}$

$\frac{x}{3}$

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