Simplify (24mn^6-40m^2n^3)/(4m^2n^3)

$\frac{24 m n^{6} - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$

Factor $8 m n^{3}$ out of $24 m n^{6} - 40 m^{2} n^{3}$ .

Factor $8 m n^{3}$ out of $24 m n^{6}$ .

$\frac{8 m n^{3} (3 n^{3}) - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$

Factor $8 m n^{3}$ out of $- 40 m^{2} n^{3}$ .

$\frac{8 m n^{3} (3 n^{3}) + 8 m n^{3} (- 5 m)}{4 m^{2} n^{3}}$

Factor $8 m n^{3}$ out of $8 m n^{3} (3 n^{3}) + 8 m n^{3} (- 5 m)$ .

$\frac{8 m n^{3} (3 n^{3} - 5 m)}{4 m^{2} n^{3}}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 m n^{3} (3 n^{3} - 5 m)$ .

$\frac{4 (2 m n^{3} (3 n^{3} - 5 m))}{4 m^{2} n^{3}}$

Cancel the common factors.

Factor $4$ out of $4 m^{2} n^{3}$ .

$\frac{4 (2 m n^{3} (3 n^{3} - 5 m))}{4 (m^{2} n^{3})}$

Cancel the common factor.

$\frac{4 (2 m n^{3} (3 n^{3} - 5 m))}{4 (m^{2} n^{3})}$

Rewrite the expression.

$\frac{2 m n^{3} (3 n^{3} - 5 m)}{m^{2} n^{3}}$

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

Factor $m$ out of $2 m n^{3} (3 n^{3} - 5 m)$ .

$\frac{m (2 n^{3} (3 n^{3} - 5 m))}{m^{2} n^{3}}$

Cancel the common factors.

Factor $m$ out of $m^{2} n^{3}$ .

$\frac{m (2 n^{3} (3 n^{3} - 5 m))}{m (m n^{3})}$

Cancel the common factor.

$\frac{m (2 n^{3} (3 n^{3} - 5 m))}{m (m n^{3})}$

Rewrite the expression.

$\frac{2 n^{3} (3 n^{3} - 5 m)}{m n^{3}}$

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

Cancel the common factor.

$\frac{2 n^{3} (3 n^{3} - 5 m)}{m n^{3}}$

Rewrite the expression.

$\frac{2 (3 n^{3} - 5 m)}{m}$