Evaluate ((2pi)/3)÷4

$\frac{2 π}{3} \div 4$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{2 π}{3}}{4}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 π}{3} \cdot \frac{1}{4}$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $2 π$ .

$\frac{2 (π)}{3} \cdot \frac{1}{4}$

Factor $2$ out of $4$ .

$\frac{2 (π)}{3} \cdot \frac{1}{2 (2)}$

Cancel the common factor.

$\frac{2 π}{3} \cdot \frac{1}{2 \cdot 2}$

Rewrite the expression.

$\frac{π}{3} \cdot \frac{1}{2}$

Step 4

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

$\frac{π}{3 \cdot 2}$

Step 5

Multiply $3$ by $2$ .

$\frac{π}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{6}$

Decimal Form:

$0.52359877 \dots$