Divide 4 2/3÷(1/2)

$4 \frac{2}{3} \div \frac{1}{2}$

Convert $4 \frac{2}{3}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(4 + \frac{2}{3}) \div \frac{1}{2}$

Add $4$ and $\frac{2}{3}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(4 \cdot \frac{3}{3} + \frac{2}{3}) \div \frac{1}{2}$

Combine $4$ and $\frac{3}{3}$ .

$(\frac{4 \cdot 3}{3} + \frac{2}{3}) \div \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 + 2}{3} \div \frac{1}{2}$

Simplify the numerator.

Multiply $4$ by $3$ .

$\frac{12 + 2}{3} \div \frac{1}{2}$

Add $12$ and $2$ .

$\frac{14}{3} \div \frac{1}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{14}{3} \cdot 2$

Multiply $\frac{14}{3} \cdot 2$ .

Combine $\frac{14}{3}$ and $2$ .

$\frac{14 \cdot 2}{3}$

Multiply $14$ by $2$ .

$\frac{28}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{28}{3}$

Decimal Form:

$9.\overline{3}$

Mixed Number Form:

$9 \frac{1}{3}$