Write the Fraction in Simplest Form (9/14)÷(15/2)

$\frac{9}{14} \div \frac{15}{2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{14} \cdot \frac{2}{15}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{14} \cdot \frac{2}{15}$

Factor $3$ out of $15$ .

$\frac{3 \cdot 3}{14} \cdot \frac{2}{3 \cdot 5}$

Cancel the common factor.

$\frac{3 \cdot 3}{14} \cdot \frac{2}{3 \cdot 5}$

Rewrite the expression.

$\frac{3}{14} \cdot \frac{2}{5}$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$\frac{3}{2 (7)} \cdot \frac{2}{5}$

Cancel the common factor.

$\frac{3}{2 \cdot 7} \cdot \frac{2}{5}$

Rewrite the expression.

$\frac{3}{7} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{3}{7}$ by $\frac{1}{5}$ .

$\frac{3}{7 \cdot 5}$

Step 5

Multiply $7$ by $5$ .

$\frac{3}{35}$