Simplify 4/9+2/3-1/2

$\frac{4}{9} + \frac{2}{3} - \frac{1}{2}$

Step 1

Find the common denominator.

Multiply $\frac{4}{9}$ by $\frac{2}{2}$ .

$\frac{4}{9} \cdot \frac{2}{2} + \frac{2}{3} - \frac{1}{2}$

Multiply $\frac{4}{9}$ by $\frac{2}{2}$ .

$\frac{4 \cdot 2}{9 \cdot 2} + \frac{2}{3} - \frac{1}{2}$

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

$\frac{4 \cdot 2}{9 \cdot 2} + \frac{2}{3} \cdot \frac{6}{6} - \frac{1}{2}$

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

$\frac{4 \cdot 2}{9 \cdot 2} + \frac{2 \cdot 6}{3 \cdot 6} - \frac{1}{2}$

Multiply $\frac{1}{2}$ by $\frac{9}{9}$ .

$\frac{4 \cdot 2}{9 \cdot 2} + \frac{2 \cdot 6}{3 \cdot 6} - (\frac{1}{2} \cdot \frac{9}{9})$

Multiply $\frac{1}{2}$ by $\frac{9}{9}$ .

$\frac{4 \cdot 2}{9 \cdot 2} + \frac{2 \cdot 6}{3 \cdot 6} - \frac{9}{2 \cdot 9}$

Reorder the factors of $9 \cdot 2$ .

$\frac{4 \cdot 2}{2 \cdot 9} + \frac{2 \cdot 6}{3 \cdot 6} - \frac{9}{2 \cdot 9}$

Multiply $2$ by $9$ .

$\frac{4 \cdot 2}{18} + \frac{2 \cdot 6}{3 \cdot 6} - \frac{9}{2 \cdot 9}$

Multiply $3$ by $6$ .

$\frac{4 \cdot 2}{18} + \frac{2 \cdot 6}{18} - \frac{9}{2 \cdot 9}$

Multiply $2$ by $9$ .

$\frac{4 \cdot 2}{18} + \frac{2 \cdot 6}{18} - \frac{9}{18}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 2 \cdot 6 - 9}{18}$

Step 3

Simplify each term.

Multiply $4$ by $2$ .

$\frac{8 + 2 \cdot 6 - 9}{18}$

Multiply $2$ by $6$ .

$\frac{8 + 12 - 9}{18}$

Step 4

Simplify by adding and subtracting.

Add $8$ and $12$ .

$\frac{20 - 9}{18}$

Subtract $9$ from $20$ .

$\frac{11}{18}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{18}$

Decimal Form:

$0.6\overline{1}$