Divide 3÷4 1/2

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

Step 1

Convert $4 \frac{1}{2}$ to an improper fraction.

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

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

Add $4$ and $\frac{1}{2}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Combine $4$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $4$ by $2$ .

$3 \div \frac{8 + 1}{2}$

Add $8$ and $1$ .

$3 \div \frac{9}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$3 (\frac{2}{9})$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$