Simplify (6c)/(5d)*(15cd^2)/(8a)

$\frac{6 c}{5 d} \cdot \frac{15 c d^{2}}{8 a}$

Combine.

$\frac{6 c (15 c d^{2})}{5 d (8 a)}$

Multiply $c$ by $c$ by adding the exponents.

Move $c$ .

$\frac{6 (c \cdot c) (15 d^{2})}{5 d (8 a)}$

Multiply $c$ by $c$ .

$\frac{6 c^{2} (15 d^{2})}{5 d (8 a)}$

$\frac{6 c^{2} (15 d^{2})}{5 d (8 a)}$

Cancel the common factor of $6$ and $8$ .

Factor $2$ out of $6 c^{2} (15 d^{2})$ .

$\frac{2 (3 c^{2} (15 d^{2}))}{5 d (8 a)}$

Cancel the common factors.

Factor $2$ out of $5 d (8 a)$ .

$\frac{2 (3 c^{2} (15 d^{2}))}{2 (5 d (4 a))}$

Cancel the common factor.

$\frac{2 (3 c^{2} (15 d^{2}))}{2 (5 d (4 a))}$

Rewrite the expression.

$\frac{3 c^{2} (15 d^{2})}{5 d (4 a)}$

$\frac{3 c^{2} (15 d^{2})}{5 d (4 a)}$

$\frac{3 c^{2} (15 d^{2})}{5 d (4 a)}$

Cancel the common factor of $15$ and $5$ .

Factor $5$ out of $3 c^{2} (15 d^{2})$ .

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

Cancel the common factors.

Factor $5$ out of $5 d (4 a)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $3$ by $3$ .

$\frac{9 c^{2} d}{4 a}$

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