Simplify (5x^3y)/(15xy^3)

$\frac{5 x^{3} y}{15 x y^{3}}$

Step 1

Cancel the common factor of $5$ and $15$ .

Factor $5$ out of $5 x^{3} y$ .

$\frac{5 (x^{3} y)}{15 x y^{3}}$

Cancel the common factors.

Factor $5$ out of $15 x y^{3}$ .

$\frac{5 (x^{3} y)}{5 (3 x y^{3})}$

Cancel the common factor.

$\frac{5 (x^{3} y)}{5 (3 x y^{3})}$

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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