Evaluate 3-2/3-7/9

$3 - \frac{2}{3} - \frac{7}{9}$

Find the common denominator.

Write $3$ as a fraction with denominator $1$ .

$\frac{3}{1} - \frac{2}{3} - \frac{7}{9}$

Multiply $\frac{3}{1}$ by $\frac{9}{9}$ .

$\frac{3}{1} \cdot \frac{9}{9} - \frac{2}{3} - \frac{7}{9}$

Multiply $\frac{3}{1}$ by $\frac{9}{9}$ .

$\frac{3 \cdot 9}{9} - \frac{2}{3} - \frac{7}{9}$

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

$\frac{3 \cdot 9}{9} - (\frac{2}{3} \cdot \frac{3}{3}) - \frac{7}{9}$

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

$\frac{3 \cdot 9}{9} - \frac{2 \cdot 3}{3 \cdot 3} - \frac{7}{9}$

Multiply $3$ by $3$ .

$\frac{3 \cdot 9}{9} - \frac{2 \cdot 3}{9} - \frac{7}{9}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 9 - 2 \cdot 3 - 7}{9}$

Simplify each term.

Multiply $3$ by $9$ .

$\frac{27 - 2 \cdot 3 - 7}{9}$

Multiply $- 2$ by $3$ .

$\frac{27 - 6 - 7}{9}$

Simplify by subtracting numbers.

Subtract $6$ from $27$ .

$\frac{21 - 7}{9}$

Subtract $7$ from $21$ .

$\frac{14}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{9}$

Decimal Form:

$1.\overline{5}$

Mixed Number Form:

$1 \frac{5}{9}$