Simplify (3wx)/(6x)*(3wx)/(9w)

$\frac{3 w x}{6 x} \cdot \frac{3 w x}{9 w}$

Step 1

Cancel the common factor of $3 w$ .

Factor $3 w$ out of $3 w x$ .

$\frac{3 w (x)}{6 x} \cdot \frac{3 w x}{9 w}$

Factor $3 w$ out of $9 w$ .

$\frac{3 w (x)}{6 x} \cdot \frac{3 w x}{3 w (3)}$

Cancel the common factor.

$\frac{3 w x}{6 x} \cdot \frac{3 w x}{3 w \cdot 3}$

Rewrite the expression.

$\frac{x}{6 x} \cdot \frac{3 w x}{3}$

$\frac{x}{6 x} \cdot \frac{3 w x}{3}$

Step 2

Cancel the common factor of $3 x$ .

Factor $3 x$ out of $6 x$ .

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

Factor $3 x$ out of $3 w x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Multiply $\frac{x}{2}$ by $\frac{w}{3}$ .

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

Step 4

Multiply $2$ by $3$ .

$\frac{x w}{6}$

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