Divide (8/10)÷(1/5)

$\frac{8}{10} \div \frac{1}{5}$

To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{8}{5 (2)} \cdot 5$

Cancel the common factor.

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

Rewrite the expression.

$\frac{8}{2}$

Divide $8$ by $2$ .

$4$