Simplify (6m)/(5a)*(15a)/(2m)

$\frac{6 m}{5 a} \cdot \frac{15 a}{2 m}$

Cancel the common factor of $2 m$ .

Factor $2 m$ out of $6 m$ .

$\frac{2 m (3)}{5 a} \cdot \frac{15 a}{2 m}$

Cancel the common factor.

$\frac{2 m \cdot 3}{5 a} \cdot \frac{15 a}{2 m}$

Rewrite the expression.

$\frac{3}{5 a} \cdot (15 a)$

$\frac{3}{5 a} \cdot (15 a)$

Cancel the common factor of $5 a$ .

Factor $5 a$ out of $15 a$ .

$\frac{3}{5 a} \cdot (5 a (3))$

Cancel the common factor.

$\frac{3}{5 a} \cdot (5 a \cdot 3)$

Rewrite the expression.

$3 \cdot 3$

$3 \cdot 3$

Multiply $3$ by $3$ .

$9$

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