Divide 10÷(4/5)

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

To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

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

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Combine $5$ and $\frac{5}{2}$ .

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

Multiply $5$ by $5$ .

$\frac{25}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{2}$

Decimal Form:

$12.5$

Mixed Number Form:

$12 \frac{1}{2}$