Simplify (-30x^5y^8)/(6x^5y^9)

$\frac{- 30 x^{5} y^{8}}{6 x^{5} y^{9}}$

Cancel the common factor of $- 30$ and $6$ .

Factor $6$ out of $- 30 x^{5} y^{8}$ .

$\frac{6 (- 5 x^{5} y^{8})}{6 x^{5} y^{9}}$

Cancel the common factors.

Factor $6$ out of $6 x^{5} y^{9}$ .

$\frac{6 (- 5 x^{5} y^{8})}{6 (x^{5} y^{9})}$

Cancel the common factor.

$\frac{6 (- 5 x^{5} y^{8})}{6 (x^{5} y^{9})}$

Rewrite the expression.

$\frac{- 5 x^{5} y^{8}}{x^{5} y^{9}}$

$\frac{- 5 x^{5} y^{8}}{x^{5} y^{9}}$

$\frac{- 5 x^{5} y^{8}}{x^{5} y^{9}}$

Cancel the common factor of $x^{5}$ .

Cancel the common factor.

$\frac{- 5 x^{5} y^{8}}{x^{5} y^{9}}$

Rewrite the expression.

$\frac{- 5 y^{8}}{y^{9}}$

$\frac{- 5 y^{8}}{y^{9}}$

Cancel the common factor of $y^{8}$ and $y^{9}$ .

Factor $y^{8}$ out of $- 5 y^{8}$ .

$\frac{y^{8} \cdot - 5}{y^{9}}$

Cancel the common factors.

Factor $y^{8}$ out of $y^{9}$ .

$\frac{y^{8} \cdot - 5}{y^{8} y}$

Cancel the common factor.

$\frac{y^{8} \cdot - 5}{y^{8} y}$

Rewrite the expression.

$\frac{- 5}{y}$

$\frac{- 5}{y}$

$\frac{- 5}{y}$

Move the negative in front of the fraction.

$- \frac{5}{y}$

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