Evaluate pi/6+(2pi)/3

$\frac{π}{6} + \frac{2 π}{3}$

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

$\frac{π}{6} + \frac{2 π}{3} \cdot \frac{2}{2}$

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

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

$\frac{π}{6} + \frac{2 π \cdot 2}{3 \cdot 2}$

Multiply $3$ by $2$ .

$\frac{π}{6} + \frac{2 π \cdot 2}{6}$

Combine the numerators over the common denominator.

$\frac{π + 2 π \cdot 2}{6}$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{π + 4 π}{6}$

Add $π$ and $4 π$ .

$\frac{5 π}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5 π}{6}$

Decimal Form:

$2.61799387 \dots$