Simplify ((11x)/(4y^2))÷(22x^2)

$\frac{11 x}{4 y^{2}} \div (22 x^{2})$

Rewrite the division as a fraction.

$\frac{\frac{11 x}{4 y^{2}}}{22 x^{2}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{11 x}{4 y^{2}} \cdot \frac{1}{22 x^{2}}$

Combine.

$\frac{11 x \cdot 1}{4 y^{2} (22 x^{2})}$

Cancel the common factor of $11$ and $22$ .

Factor $11$ out of $11 x \cdot 1$ .

$\frac{11 (x \cdot 1)}{4 y^{2} (22 x^{2})}$

Cancel the common factors.

Factor $11$ out of $4 y^{2} (22 x^{2})$ .

$\frac{11 (x \cdot 1)}{11 (4 y^{2} (2 x^{2}))}$

Cancel the common factor.

$\frac{11 (x \cdot 1)}{11 (4 y^{2} (2 x^{2}))}$

Rewrite the expression.

$\frac{x \cdot 1}{4 y^{2} (2 x^{2})}$

$\frac{x \cdot 1}{4 y^{2} (2 x^{2})}$

$\frac{x \cdot 1}{4 y^{2} (2 x^{2})}$

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

Factor $x$ out of $x \cdot 1$ .

$\frac{x (1)}{4 y^{2} (2 x^{2})}$

Cancel the common factors.

Factor $x$ out of $4 y^{2} (2 x^{2})$ .

$\frac{x (1)}{x (4 y^{2} (2 x))}$

Cancel the common factor.

$\frac{x \cdot 1}{x (4 y^{2} (2 x))}$

Rewrite the expression.

$\frac{1}{4 y^{2} (2 x)}$

$\frac{1}{4 y^{2} (2 x)}$

$\frac{1}{4 y^{2} (2 x)}$

Multiply $2$ by $4$ .

$\frac{1}{8 y^{2} x}$

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