Simplify (12c^3d^2)/(21ab)*(14a^2b)/(8c^2d)

$\frac{12 c^{3} d^{2}}{21 a b} \cdot \frac{14 a^{2} b}{8 c^{2} d}$

Combine.

$\frac{12 c^{3} d^{2} (14 a^{2} b)}{21 a b (8 c^{2} d)}$

Cancel the common factor of $12$ and $21$ .

Factor $3$ out of $12 c^{3} d^{2} (14 a^{2} b)$ .

$\frac{3 (4 c^{3} d^{2} (14 a^{2} b))}{21 a b (8 c^{2} d)}$

Cancel the common factors.

Factor $3$ out of $21 a b (8 c^{2} d)$ .

$\frac{3 (4 c^{3} d^{2} (14 a^{2} b))}{3 (7 a b (8 c^{2} d))}$

Cancel the common factor.

$\frac{3 (4 c^{3} d^{2} (14 a^{2} b))}{3 (7 a b (8 c^{2} d))}$

Rewrite the expression.

$\frac{4 c^{3} d^{2} (14 a^{2} b)}{7 a b (8 c^{2} d)}$

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

Factor $4$ out of $4 c^{3} d^{2} (14 a^{2} b)$ .

$\frac{4 (c^{3} d^{2} (14 a^{2} b))}{7 a b (8 c^{2} d)}$

Cancel the common factors.

Factor $4$ out of $7 a b (8 c^{2} d)$ .

$\frac{4 (c^{3} d^{2} (14 a^{2} b))}{4 (7 a b (2 c^{2} d))}$

Cancel the common factor.

$\frac{4 (c^{3} d^{2} (14 a^{2} b))}{4 (7 a b (2 c^{2} d))}$

Rewrite the expression.

$\frac{c^{3} d^{2} (14 a^{2} b)}{7 a b (2 c^{2} d)}$

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

Factor $c^{2}$ out of $c^{3} d^{2} (14 a^{2} b)$ .

$\frac{c^{2} (c d^{2} (14 a^{2} b))}{7 a b (2 c^{2} d)}$

Cancel the common factors.

Factor $c^{2}$ out of $7 a b (2 c^{2} d)$ .

$\frac{c^{2} (c d^{2} (14 a^{2} b))}{c^{2} (7 a b (2 d))}$

Cancel the common factor.

$\frac{c^{2} (c d^{2} (14 a^{2} b))}{c^{2} (7 a b (2 d))}$

Rewrite the expression.

$\frac{c d^{2} (14 a^{2} b)}{7 a b (2 d)}$

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

Factor $d$ out of $c d^{2} (14 a^{2} b)$ .

$\frac{d (c d (14 a^{2} b))}{7 a b (2 d)}$

Cancel the common factors.

Factor $d$ out of $7 a b (2 d)$ .

$\frac{d (c d (14 a^{2} b))}{d (7 a b \cdot (2))}$

Cancel the common factor.

$\frac{d (c d (14 a^{2} b))}{d (7 a b \cdot (2))}$

Rewrite the expression.

$\frac{c d (14 a^{2} b)}{7 a b \cdot (2)}$

Cancel the common factor of $14$ and $7$ .

Factor $7$ out of $c d (14 a^{2} b)$ .

$\frac{7 (c d (2 a^{2} b))}{7 a b \cdot (2)}$

Cancel the common factors.

Factor $7$ out of $7 a b \cdot (2)$ .

$\frac{7 (c d (2 a^{2} b))}{7 (a b \cdot (2))}$

Cancel the common factor.

$\frac{7 (c d (2 a^{2} b))}{7 (a b \cdot (2))}$

Rewrite the expression.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Factor $a$ out of $c d (a^{2} b)$ .

$\frac{a (c d (a b))}{a b}$

Cancel the common factors.

Factor $a$ out of $a b$ .

$\frac{a (c d (a b))}{a (b)}$

Cancel the common factor.

$\frac{a (c d (a b))}{a b}$

Rewrite the expression.

$\frac{c d (a b)}{b}$

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{c d (a b)}{b}$

Divide $c d (a)$ by $1$ .

$c d (a)$

$c d a$

Simplify (12c^3d^2)/(21ab)*(14a^2b)/(8c^2d)

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