Divide 6÷(4/5)

$6 \div \frac{4}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$6 (\frac{5}{4})$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$2 (3) \frac{5}{4}$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Combine $3$ and $\frac{5}{2}$ .

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

Step 4

Multiply $3$ by $5$ .

$\frac{15}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{2}$

Decimal Form:

$7.5$

Mixed Number Form:

$7 \frac{1}{2}$