Simplify 3/(4x)*(2x^2)/9

$\frac{3}{4 x} \cdot \frac{2 x^{2}}{9}$

Step 1

Combine.

$\frac{3 (2 x^{2})}{4 x \cdot 9}$

Step 2

Cancel the common factors.

Factor $3$ out of $4 x \cdot 9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 x^{2}}{4 x \cdot 3}$

$\frac{2 x^{2}}{4 x \cdot 3}$

Step 3

Cancel the common factor of $2$ and $4$ .

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

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

Cancel the common factors.

Factor $2$ out of $4 x \cdot 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

Factor $x$ out of $2 x \cdot 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 5

Multiply $2$ by $3$ .

$\frac{x}{6}$

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