Simplify ((5x^3y)/(20xy^5))

$(\frac{5 x^{3} y}{20 x y^{5}})$

Step 1

Remove parentheses.

$\frac{5 x^{3} y}{20 x y^{5}}$

Step 2

Cancel the common factor of $5$ and $20$ .

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

$\frac{5 (x^{3} y)}{20 x y^{5}}$

Cancel the common factors.

Factor $5$ out of $20 x y^{5}$ .

$\frac{5 (x^{3} y)}{5 (4 x y^{5})}$

Cancel the common factor.

$\frac{5 (x^{3} y)}{5 (4 x y^{5})}$

Rewrite the expression.

$\frac{x^{3} y}{4 x y^{5}}$

$\frac{x^{3} y}{4 x y^{5}}$

$\frac{x^{3} y}{4 x y^{5}}$

Step 3

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

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

$\frac{x (x^{2} y)}{4 x y^{5}}$

Cancel the common factors.

Factor $x$ out of $4 x y^{5}$ .

$\frac{x (x^{2} y)}{x (4 y^{5})}$

Cancel the common factor.

$\frac{x (x^{2} y)}{x (4 y^{5})}$

Rewrite the expression.

$\frac{x^{2} y}{4 y^{5}}$

$\frac{x^{2} y}{4 y^{5}}$

$\frac{x^{2} y}{4 y^{5}}$

Step 4

Cancel the common factor of $y$ and $y^{5}$ .

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

$\frac{y x^{2}}{4 y^{5}}$

Cancel the common factors.

Factor $y$ out of $4 y^{5}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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