Evaluate 30/360(2pi*4)

$\frac{30}{360} (2 π \cdot 4)$

Cancel the common factor of $30$ and $360$ .

Factor $30$ out of $30$ .

$\frac{30 (1)}{360} \cdot (2 π \cdot 4)$

Cancel the common factors.

Factor $30$ out of $360$ .

$\frac{30 \cdot 1}{30 \cdot 12} \cdot (2 π \cdot 4)$

Cancel the common factor.

$\frac{30 \cdot 1}{30 \cdot 12} \cdot (2 π \cdot 4)$

Rewrite the expression.

$\frac{1}{12} \cdot (2 π \cdot 4)$

Multiply $4$ by $2$ .

$\frac{1}{12} \cdot (8 π)$

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$\frac{1}{4 (3)} \cdot (8 π)$

Factor $4$ out of $8 π$ .

$\frac{1}{4 (3)} \cdot (4 (2 π))$

Cancel the common factor.

$\frac{1}{4 \cdot 3} \cdot (4 (2 π))$

Rewrite the expression.

$\frac{1}{3} \cdot (2 π)$

Combine $2$ and $\frac{1}{3}$ .

$\frac{2}{3} \cdot π$

Combine $\frac{2}{3}$ and $π$ .

$\frac{2 π}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2 π}{3}$

Decimal Form:

$2.09439510 \dots$