Simplify (21x^3y)/(14x^2y^2)

$\frac{21 x^{3} y}{14 x^{2} y^{2}}$

Step 1

Cancel the common factor of $21$ and $14$ .

Factor $7$ out of $21 x^{3} y$ .

$\frac{7 (3 x^{3} y)}{14 x^{2} y^{2}}$

Cancel the common factors.

Factor $7$ out of $14 x^{2} y^{2}$ .

$\frac{7 (3 x^{3} y)}{7 (2 x^{2} y^{2})}$

Cancel the common factor.

$\frac{7 (3 x^{3} y)}{7 (2 x^{2} y^{2})}$

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $y$ out of $3 x y$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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