Divide (4yx^3)/(4x^4y^2)

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

Step 1

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 2

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

Factor $y$ out of $y x^{3}$ .

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

Cancel the common factors.

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

$\frac{y (x^{3})}{y (x^{4} y)}$

Cancel the common factor.

$\frac{y x^{3}}{y (x^{4} y)}$

Rewrite the expression.

$\frac{x^{3}}{x^{4} y}$

$\frac{x^{3}}{x^{4} y}$

$\frac{x^{3}}{x^{4} y}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{4}$ .

Multiply by $1$ .

$\frac{x^{3} \cdot 1}{x^{4} y}$

Cancel the common factors.

Factor $x^{3}$ out of $x^{4} y$ .

$\frac{x^{3} \cdot 1}{x^{3} (x y)}$

Cancel the common factor.

$\frac{x^{3} \cdot 1}{x^{3} (x y)}$

Rewrite the expression.

$\frac{1}{x y}$

$\frac{1}{x y}$

$\frac{1}{x y}$

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