Simplify (-15k^2)/(15k^3+45k^2)

$\frac{- 15 k^{2}}{15 k^{3} + 45 k^{2}}$

Factor $15 k^{2}$ out of $15 k^{3} + 45 k^{2}$ .

Factor $15 k^{2}$ out of $15 k^{3}$ .

$\frac{- 15 k^{2}}{15 k^{2} (k) + 45 k^{2}}$

Factor $15 k^{2}$ out of $45 k^{2}$ .

$\frac{- 15 k^{2}}{15 k^{2} (k) + 15 k^{2} (3)}$

Factor $15 k^{2}$ out of $15 k^{2} (k) + 15 k^{2} (3)$ .

$\frac{- 15 k^{2}}{15 k^{2} (k + 3)}$

$\frac{- 15 k^{2}}{15 k^{2} (k + 3)}$

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

Factor $15$ out of $- 15 k^{2}$ .

$\frac{15 (- k^{2})}{15 k^{2} (k + 3)}$

Cancel the common factors.

Factor $15$ out of $15 k^{2} (k + 3)$ .

$\frac{15 (- k^{2})}{15 (k^{2} (k + 3))}$

Cancel the common factor.

$\frac{15 (- k^{2})}{15 (k^{2} (k + 3))}$

Rewrite the expression.

$\frac{- k^{2}}{k^{2} (k + 3)}$

$\frac{- k^{2}}{k^{2} (k + 3)}$

$\frac{- k^{2}}{k^{2} (k + 3)}$

Cancel the common factor of $k^{2}$ .

Cancel the common factor.

$\frac{- k^{2}}{k^{2} (k + 3)}$

Rewrite the expression.

$\frac{- 1}{k + 3}$

$\frac{- 1}{k + 3}$

Move the negative in front of the fraction.

$- \frac{1}{k + 3}$

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