Divide (48a^3bc^2)÷3abc

$48 a^{3} b c^{2} \div 3 a b c$

Step 1

Rewrite the division as a fraction.

$\frac{48 a^{3} b c^{2}}{3 a b c}$

Step 2

Cancel the common factor of $48$ and $3$ .

Factor $3$ out of $48 a^{3} b c^{2}$ .

$\frac{3 (16 a^{3} b c^{2})}{3 a b c}$

Cancel the common factors.

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

$\frac{3 (16 a^{3} b c^{2})}{3 (a b c)}$

Cancel the common factor.

$\frac{3 (16 a^{3} b c^{2})}{3 (a b c)}$

Rewrite the expression.

$\frac{16 a^{3} b c^{2}}{a b c}$

$\frac{16 a^{3} b c^{2}}{a b c}$

$\frac{16 a^{3} b c^{2}}{a b c}$

Step 3

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

Factor $a$ out of $16 a^{3} b c^{2}$ .

$\frac{a (16 a^{2} b c^{2})}{a b c}$

Cancel the common factors.

Factor $a$ out of $a b c$ .

$\frac{a (16 a^{2} b c^{2})}{a (b c)}$

Cancel the common factor.

$\frac{a (16 a^{2} b c^{2})}{a (b c)}$

Rewrite the expression.

$\frac{16 a^{2} b c^{2}}{b c}$

$\frac{16 a^{2} b c^{2}}{b c}$

$\frac{16 a^{2} b c^{2}}{b c}$

Step 4

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{16 a^{2} b c^{2}}{b c}$

Rewrite the expression.

$\frac{16 a^{2} c^{2}}{c}$

$\frac{16 a^{2} c^{2}}{c}$

Step 5

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

Factor $c$ out of $16 a^{2} c^{2}$ .

$\frac{c (16 a^{2} c)}{c}$

Cancel the common factors.

Raise $c$ to the power of $1$ .

$\frac{c (16 a^{2} c)}{c^{1}}$

Factor $c$ out of $c^{1}$ .

$\frac{c (16 a^{2} c)}{c \cdot 1}$

Cancel the common factor.

$\frac{c (16 a^{2} c)}{c \cdot 1}$

Rewrite the expression.

$\frac{16 a^{2} c}{1}$

Divide $16 a^{2} c$ by $1$ .

$16 a^{2} c$

$16 a^{2} c$

$16 a^{2} c$

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