Simplify -(48c^2d^4)/(-8cd)

$- \frac{48 c^{2} d^{4}}{- 8 c d}$

Cancel the common factor of $48$ and $- 8$ .

Factor $8$ out of $48 c^{2} d^{4}$ .

$- \frac{8 (6 c^{2} d^{4})}{- 8 c d}$

Cancel the common factors.

Factor $8$ out of $- 8 c d$ .

$- \frac{8 (6 c^{2} d^{4})}{8 (- c d)}$

Cancel the common factor.

$- \frac{8 (6 c^{2} d^{4})}{8 (- c d)}$

Rewrite the expression.

$- \frac{6 c^{2} d^{4}}{- c d}$

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

Factor $c$ out of $6 c^{2} d^{4}$ .

$- \frac{c (6 c d^{4})}{- c d}$

Cancel the common factors.

Factor $c$ out of $- c d$ .

$- \frac{c (6 c d^{4})}{c (- 1 d)}$

Cancel the common factor.

$- \frac{c (6 c d^{4})}{c (- 1 d)}$

Rewrite the expression.

$- \frac{6 c d^{4}}{- 1 d}$

Cancel the common factor of $d^{4}$ and $d$ .

Factor $d$ out of $6 c d^{4}$ .

$- \frac{d (6 c d^{3})}{- 1 d}$

Move the negative one from the denominator of $\frac{6 c d^{3}}{- 1}$ .

$- (- 1 \cdot (6 c d^{3}))$

Simplify the expression.

Rewrite $- 1 \cdot (6 c d^{3})$ as $- (6 c d^{3})$ .

$- - (6 c d^{3})$

Multiply $6$ by $- 1$ .

$- (- 6 (c d^{3}))$

Multiply $- 6$ by $- 1$ .

$6 c d^{3}$