Divide (y/15)÷((2y)/3)

$\frac{y}{15} \div \frac{2 y}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{y}{15} \cdot \frac{3}{2 y}$

Step 2

Cancel the common factor of $y$ .

Factor $y$ out of $2 y$ .

$\frac{y}{15} \cdot \frac{3}{y \cdot 2}$

Cancel the common factor.

$\frac{y}{15} \cdot \frac{3}{y \cdot 2}$

Rewrite the expression.

$\frac{1}{15} \cdot \frac{3}{2}$

$\frac{1}{15} \cdot \frac{3}{2}$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{1}{3 (5)} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{1}{3 \cdot 5} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{1}{2}$

$\frac{1}{5} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{1}{5}$ by $\frac{1}{2}$ .

$\frac{1}{5 \cdot 2}$

Step 5

Multiply $5$ by $2$ .

$\frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$

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