Divide (6/10)÷(3/5)

$\frac{6}{10} \div \frac{3}{5}$

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{10} \cdot \frac{5}{3}$

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{3 (2)}{10} \cdot \frac{5}{3}$

Cancel the common factor.

$\frac{3 \cdot 2}{10} \cdot \frac{5}{3}$

Rewrite the expression.

$\frac{2}{10} \cdot 5$

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{2}$

Divide $2$ by $2$ .

$1$