Divide (8/10)÷(2/5)

$\frac{8}{10} \div \frac{2}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{10} \cdot \frac{5}{2}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{2 (4)}{10} \cdot \frac{5}{2}$

Cancel the common factor.

$\frac{2 \cdot 4}{10} \cdot \frac{5}{2}$

Rewrite the expression.

$\frac{4}{10} \cdot 5$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{4}{5 (2)} \cdot 5$

Cancel the common factor.

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

Rewrite the expression.

$\frac{4}{2}$

Step 4

Divide $4$ by $2$ .

$2$