Simplify 4/(5y)15/2(30y)/6

$\frac{4}{5 y} \cdot \frac{15}{2} \cdot \frac{30 y}{6}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{5 y} \cdot \frac{15}{2} \cdot \frac{30 y}{6}$

Cancel the common factor.

$\frac{2 \cdot 2}{5 y} \cdot \frac{15}{2} \cdot \frac{30 y}{6}$

Rewrite the expression.

$\frac{2}{5 y} \cdot 15 \cdot \frac{30 y}{6}$

Cancel the common factor of $5$ .

Factor $5$ out of $5 y$ .

$\frac{2}{5 (y)} \cdot 15 \cdot \frac{30 y}{6}$

Factor $5$ out of $15$ .

$\frac{2}{5 (y)} \cdot (5 (3)) \cdot \frac{30 y}{6}$

Cancel the common factor.

$\frac{2}{5 y} \cdot (5 \cdot 3) \cdot \frac{30 y}{6}$

Rewrite the expression.

$\frac{2}{y} \cdot 3 \cdot \frac{30 y}{6}$

Combine $\frac{2}{y}$ and $3$ .

$\frac{2 \cdot 3}{y} \cdot \frac{30 y}{6}$

Multiply $2$ by $3$ .

$\frac{6}{y} \cdot \frac{30 y}{6}$

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6}{y} \cdot \frac{30 y}{6}$

Rewrite the expression.

$\frac{1}{y} \cdot (30 y)$

Cancel the common factor of $y$ .

Factor $y$ out of $30 y$ .

$\frac{1}{y} \cdot (y \cdot 30)$

Cancel the common factor.

$\frac{1}{y} \cdot (y \cdot 30)$

Rewrite the expression.

$30$

Simplify 4/(5y)*15/2*(30y)/6