Evaluate 2/3+5/3-1/6

$\frac{2}{3} + \frac{5}{3} - \frac{1}{6}$

Combine the numerators over the common denominator.

$\frac{2 + 5}{3} + \frac{- 1}{6}$

Simplify the expression.

Add $2$ and $5$ .

$\frac{7}{3} + \frac{- 1}{6}$

Move the negative in front of the fraction.

$\frac{7}{3} - \frac{1}{6}$

To write $\frac{7}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7}{3} \cdot \frac{2}{2} - \frac{1}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{3}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{3 \cdot 2} - \frac{1}{6}$

Multiply $3$ by $2$ .

$\frac{7 \cdot 2}{6} - \frac{1}{6}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 1}{6}$

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{14 - 1}{6}$

Subtract $1$ from $14$ .

$\frac{13}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{6}$

Decimal Form:

$2.1\overline{6}$

Mixed Number Form:

$2 \frac{1}{6}$