Evaluate 4 2/3

$4 \frac{2}{3}$

Step 1

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

$4 + \frac{2}{3}$

Step 2

Add $4$ and $\frac{2}{3}$ .

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

$4 \cdot \frac{3}{3} + \frac{2}{3}$

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

$\frac{4 \cdot 3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $4$ by $3$ .

$\frac{12 + 2}{3}$

Add $12$ and $2$ .

$\frac{14}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{3}$

Decimal Form:

$4.\overline{6}$

Mixed Number Form:

$4 \frac{2}{3}$