Divide 2 1/4÷(1/2)

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{8 + 1}{4} \div \frac{1}{2}$

Add $8$ and $1$ .

$\frac{9}{4} \div \frac{1}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{4} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

$\frac{9}{2 \cdot 2} \cdot 2$

Rewrite the expression.

$\frac{9}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$