Simplify (8u^2-12u^3v)/(20u^3)

$\frac{8 u^{2} - 12 u^{3} v}{20 u^{3}}$

Factor $4 u^{2}$ out of $8 u^{2} - 12 u^{3} v$ .

Factor $4 u^{2}$ out of $8 u^{2}$ .

$\frac{4 u^{2} (2) - 12 u^{3} v}{20 u^{3}}$

Factor $4 u^{2}$ out of $- 12 u^{3} v$ .

$\frac{4 u^{2} (2) + 4 u^{2} (- 3 u v)}{20 u^{3}}$

Factor $4 u^{2}$ out of $4 u^{2} (2) + 4 u^{2} (- 3 u v)$ .

$\frac{4 u^{2} (2 - 3 u v)}{20 u^{3}}$

Cancel the common factor of $4$ and $20$ .

Factor $4$ out of $4 u^{2} (2 - 3 u v)$ .

$\frac{4 (u^{2} (2 - 3 u v))}{20 u^{3}}$

Cancel the common factors.

Factor $4$ out of $20 u^{3}$ .

$\frac{4 (u^{2} (2 - 3 u v))}{4 (5 u^{3})}$

Cancel the common factor.

$\frac{4 (u^{2} (2 - 3 u v))}{4 (5 u^{3})}$

Rewrite the expression.

$\frac{u^{2} (2 - 3 u v)}{5 u^{3}}$

Cancel the common factors.

Factor $u^{2}$ out of $5 u^{3}$ .

$\frac{u^{2} (2 - 3 u v)}{u^{2} (5 u)}$

Cancel the common factor.

$\frac{u^{2} (2 - 3 u v)}{u^{2} (5 u)}$

Rewrite the expression.

$\frac{2 - 3 u v}{5 u}$