Evaluate 4 1/3-(-2/3)

$4 \frac{1}{3} - (- \frac{2}{3})$

Convert $4 \frac{1}{3}$ to an improper fraction.

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

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

Add $4$ and $\frac{1}{3}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Combine $4$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $4$ by $3$ .

$\frac{12 + 1}{3} - (- \frac{2}{3})$

Add $12$ and $1$ .

$\frac{13}{3} - (- \frac{2}{3})$

Multiply $- (- \frac{2}{3})$ .

Multiply $- 1$ by $- 1$ .

$\frac{13}{3} + 1 (\frac{2}{3})$

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

$\frac{13}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{13 + 2}{3}$

Simplify the expression.

Add $13$ and $2$ .

$\frac{15}{3}$

Divide $15$ by $3$ .

$5$