Divide 5÷(4/6)

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $6$ and $4$ .

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

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

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

Multiply $5$ by $3$ .

$\frac{15}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{2}$

Decimal Form:

$7.5$

Mixed Number Form:

$7 \frac{1}{2}$