Divide 3 1/2÷(1/2)

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

Step 1

Convert $3 \frac{1}{2}$ to an improper fraction.

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

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

Add $3$ and $\frac{1}{2}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{6 + 1}{2} \div \frac{1}{2}$

Add $6$ and $1$ .

$\frac{7}{2} \div \frac{1}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{2} \cdot 2$

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{7}{2} \cdot 2$

Rewrite the expression.

$7$