Evaluate 1/2+(1/3)÷(1/2)-1/3

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

Find the common denominator.

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

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

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

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

Multiply $\frac{1}{3} \div \frac{1}{2}$ by $\frac{6}{6}$ .

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

Multiply $\frac{1}{3} \div \frac{1}{2}$ by $\frac{6}{6}$ .

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

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

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

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

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

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

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

Multiply $2$ by $3$ .

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

Reorder the factors of $\frac{1}{2} \cdot 6$ .

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

Combine $6$ and $\frac{1}{2}$ .

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

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

$\frac{\frac{3}{2}}{\frac{6}{2}} + \frac{\frac{1}{3} \cdot 6}{\frac{6}{2}} - \frac{\frac{2}{2}}{\frac{3 \cdot 2}{2}}$

Multiply $3$ by $2$ .

$\frac{\frac{3}{2}}{\frac{6}{2}} + \frac{\frac{1}{3} \cdot 6}{\frac{6}{2}} - \frac{\frac{2}{2}}{\frac{6}{2}}$

Combine the numerators over the common denominator.

$\frac{\frac{3}{2} + \frac{1}{3} \cdot 6 - \frac{2}{2}}{\frac{6}{2}}$

Combine the numerators over the common denominator.

$\frac{\frac{1}{3} \cdot 6 + \frac{3 - 2}{2}}{\frac{6}{2}}$

Subtract $2$ from $3$ .

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

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $2$ .

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

Add $4$ and $1$ .

$\frac{\frac{5}{2}}{\frac{6}{2}}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6$ .

$\frac{\frac{5}{2}}{\frac{2 \cdot 3}{2}}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{\frac{5}{2}}{\frac{2 \cdot 3}{2 (1)}}$

Cancel the common factor.

$\frac{\frac{5}{2}}{\frac{2 \cdot 3}{2 \cdot 1}}$

Rewrite the expression.

$\frac{\frac{5}{2}}{\frac{3}{1}}$

Divide $3$ by $1$ .

$\frac{\frac{5}{2}}{3}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{2} \cdot \frac{1}{3}$

Multiply $\frac{5}{2} \cdot \frac{1}{3}$ .

Multiply $\frac{5}{2}$ by $\frac{1}{3}$ .

$\frac{5}{2 \cdot 3}$

Multiply $2$ by $3$ .

$\frac{5}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$

Evaluate 1/2+(1/3)÷(1/2)-1/3

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