Simplify pi/3-2pi

$\frac{π}{3} - 2 π$

Step 1

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

$\frac{π}{3} - 2 π \cdot \frac{3}{3}$

Step 2

Combine fractions.

Combine $- 2 π$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

$\frac{π - 2 π \cdot 3}{3}$

Step 3

Simplify the numerator.

Multiply $3$ by $- 2$ .

$\frac{π - 6 π}{3}$

Subtract $6 π$ from $π$ .

$\frac{- 5 π}{3}$

Step 4

Move the negative in front of the fraction.

$- \frac{5 π}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5 π}{3}$

Decimal Form:

$- 5.23598775 \dots$