Simplify (3x^2y^4)/(4xy^2)

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

Step 1

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

Factor $x$ out of $3 x^{2} y^{4}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $y^{4}$ and $y^{2}$ .

Factor $y^{2}$ out of $3 x y^{4}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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