Evaluate 4/9+(-2/3)

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

Remove parentheses.

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

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

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

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $3$ by $3$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 2$ by $3$ .

$\frac{4 - 6}{9}$

Subtract $6$ from $4$ .

$\frac{- 2}{9}$

Move the negative in front of the fraction.

$- \frac{2}{9}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{9}$

Decimal Form:

$- 0.\overline{2}$