Divide 3 1/2÷2

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $2$ .

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

Add $6$ and $1$ .

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

Rewrite the division as a fraction.

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

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $\frac{7}{2} \cdot \frac{1}{2}$ .

Multiply $\frac{7}{2}$ by $\frac{1}{2}$ .

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

Multiply $2$ by $2$ .

$\frac{7}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$