Simplify (12a^3b^6c^5)/(3a^2b^4c^5)

$\frac{12 a^{3} b^{6} c^{5}}{3 a^{2} b^{4} c^{5}}$

Cancel the common factor of $12$ and $3$ .

Factor $3$ out of $12 a^{3} b^{6} c^{5}$ .

$\frac{3 (4 a^{3} b^{6} c^{5})}{3 a^{2} b^{4} c^{5}}$

Cancel the common factors.

Factor $3$ out of $3 a^{2} b^{4} c^{5}$ .

$\frac{3 (4 a^{3} b^{6} c^{5})}{3 (a^{2} b^{4} c^{5})}$

Cancel the common factor.

$\frac{3 (4 a^{3} b^{6} c^{5})}{3 (a^{2} b^{4} c^{5})}$

Rewrite the expression.

$\frac{4 a^{3} b^{6} c^{5}}{a^{2} b^{4} c^{5}}$

Cancel the common factor of $a^{3}$ and $a^{2}$ .

Factor $a^{2}$ out of $4 a^{3} b^{6} c^{5}$ .

$\frac{a^{2} (4 a b^{6} c^{5})}{a^{2} b^{4} c^{5}}$

Cancel the common factors.

Factor $a^{2}$ out of $a^{2} b^{4} c^{5}$ .

$\frac{a^{2} (4 a b^{6} c^{5})}{a^{2} (b^{4} c^{5})}$

Cancel the common factor.

$\frac{a^{2} (4 a b^{6} c^{5})}{a^{2} (b^{4} c^{5})}$

Rewrite the expression.

$\frac{4 a b^{6} c^{5}}{b^{4} c^{5}}$

Cancel the common factor of $b^{6}$ and $b^{4}$ .

Factor $b^{4}$ out of $4 a b^{6} c^{5}$ .

$\frac{b^{4} (4 a b^{2} c^{5})}{b^{4} c^{5}}$

Cancel the common factors.

Factor $b^{4}$ out of $b^{4} c^{5}$ .

$\frac{b^{4} (4 a b^{2} c^{5})}{b^{4} (c^{5})}$

Cancel the common factor.

$\frac{b^{4} (4 a b^{2} c^{5})}{b^{4} c^{5}}$

Rewrite the expression.

$\frac{4 a b^{2} c^{5}}{c^{5}}$

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

Cancel the common factor.

$\frac{4 a b^{2} c^{5}}{c^{5}}$

Divide $4 a b^{2}$ by $1$ .

$4 a b^{2}$