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

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

Step 1

Combine.

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

Step 2

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

Factor $x$ out of $9 x^{2}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Multiply $4$ by $2$ .

$\frac{9 x}{8}$

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