Simplify (3y)/8*12/5

$\frac{3 y}{8} \cdot \frac{12}{5}$

Step 1

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{3 y}{4 (2)} \cdot \frac{12}{5}$

Factor $4$ out of $12$ .

$\frac{3 y}{4 \cdot 2} \cdot \frac{4 \cdot 3}{5}$

Cancel the common factor.

$\frac{3 y}{4 \cdot 2} \cdot \frac{4 \cdot 3}{5}$

Rewrite the expression.

$\frac{3 y}{2} \cdot \frac{3}{5}$

$\frac{3 y}{2} \cdot \frac{3}{5}$

Step 2

Multiply $\frac{3 y}{2}$ by $\frac{3}{5}$ .

$\frac{3 y \cdot 3}{2 \cdot 5}$

Step 3

Multiply.

Multiply $3$ by $3$ .

$\frac{9 y}{2 \cdot 5}$

Multiply $2$ by $5$ .

$\frac{9 y}{10}$

$\frac{9 y}{10}$

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