Simplify (12a^2bc^3)/(3ab)

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

Step 1

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

Factor $3$ out of $12 a^{2} b c^{3}$ .

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

Cancel the common factors.

Factor $3$ out of $3 a b$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

Factor $a$ out of $a b$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{4 a b c^{3}}{b}$

$\frac{4 a b c^{3}}{b}$

$\frac{4 a b c^{3}}{b}$

Step 3

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{4 a b c^{3}}{b}$

Divide $4 a c^{3}$ by $1$ .

$4 a c^{3}$

$4 a c^{3}$

Related Questions