Write the Fraction in Simplest Form (7/15)÷(3/10)

$\frac{7}{15} \div \frac{3}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{15} \cdot \frac{10}{3}$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$\frac{7}{5 (3)} \cdot \frac{10}{3}$

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply $\frac{7}{3}$ by $\frac{2}{3}$ .

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

Step 4

Multiply $7$ by $2$ .

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

Step 5

Multiply $3$ by $3$ .

$\frac{14}{9}$