Simplify (-4x^2y^5z^3)/(2xy^9z^3)

$\frac{- 4 x^{2} y^{5} z^{3}}{2 x y^{9} z^{3}}$

Cancel the common factor of $- 4$ and $2$ .

Factor $2$ out of $- 4 x^{2} y^{5} z^{3}$ .

$\frac{2 (- 2 x^{2} y^{5} z^{3})}{2 x y^{9} z^{3}}$

Cancel the common factors.

Factor $2$ out of $2 x y^{9} z^{3}$ .

$\frac{2 (- 2 x^{2} y^{5} z^{3})}{2 (x y^{9} z^{3})}$

Cancel the common factor.

$\frac{2 (- 2 x^{2} y^{5} z^{3})}{2 (x y^{9} z^{3})}$

Rewrite the expression.

$\frac{- 2 x^{2} y^{5} z^{3}}{x y^{9} z^{3}}$

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

Factor $x$ out of $- 2 x^{2} y^{5} z^{3}$ .

$\frac{x (- 2 x y^{5} z^{3})}{x y^{9} z^{3}}$

Cancel the common factors.

Factor $x$ out of $x y^{9} z^{3}$ .

$\frac{x (- 2 x y^{5} z^{3})}{x (y^{9} z^{3})}$

Cancel the common factor.

$\frac{x (- 2 x y^{5} z^{3})}{x (y^{9} z^{3})}$

Rewrite the expression.

$\frac{- 2 x y^{5} z^{3}}{y^{9} z^{3}}$

Cancel the common factor of $y^{5}$ and $y^{9}$ .

Factor $y^{5}$ out of $- 2 x y^{5} z^{3}$ .

$\frac{y^{5} (- 2 x z^{3})}{y^{9} z^{3}}$

Cancel the common factors.

Factor $y^{5}$ out of $y^{9} z^{3}$ .

$\frac{y^{5} (- 2 x z^{3})}{y^{5} (y^{4} z^{3})}$

Cancel the common factor.

$\frac{y^{5} (- 2 x z^{3})}{y^{5} (y^{4} z^{3})}$

Rewrite the expression.

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

Cancel the common factor of $z^{3}$ .

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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