Divide 2 1/3÷3 1/2

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{6 + 1}{3} \div 3 \frac{1}{2}$

Add $6$ and $1$ .

$\frac{7}{3} \div 3 \frac{1}{2}$

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

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

$\frac{7}{3} \div (3 + \frac{1}{2})$

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

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

$\frac{7}{3} \div (3 \cdot \frac{2}{2} + \frac{1}{2})$

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

$\frac{7}{3} \div (\frac{3 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{7}{3} \div \frac{3 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{7}{3} \div \frac{6 + 1}{2}$

Add $6$ and $1$ .

$\frac{7}{3} \div \frac{7}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{3} \cdot \frac{2}{7}$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{3} \cdot \frac{2}{7}$

Rewrite the expression.

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

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

$\frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$