Divide 4 1/2÷6

$4 \frac{1}{2} \div 6$

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

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

$(4 + \frac{1}{2}) \div 6$

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

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

$(4 \cdot \frac{2}{2} + \frac{1}{2}) \div 6$

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

$(\frac{4 \cdot 2}{2} + \frac{1}{2}) \div 6$

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 1}{2} \div 6$

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{8 + 1}{2} \div 6$

Add $8$ and $1$ .

$\frac{9}{2} \div 6$

Rewrite the division as a fraction.

$\frac{\frac{9}{2}}{6}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{2} \cdot \frac{1}{6}$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{2} \cdot \frac{1}{6}$

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{3}{2}$ by $\frac{1}{2}$ .

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

Multiply $2$ by $2$ .

$\frac{3}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$