Evaluate 46/360(2pi*3)

$\frac{46}{360} (2 π \cdot 3)$

Cancel the common factor of $46$ and $360$ .

Factor $2$ out of $46$ .

$\frac{2 (23)}{360} \cdot (2 π \cdot 3)$

Cancel the common factors.

Factor $2$ out of $360$ .

$\frac{2 \cdot 23}{2 \cdot 180} \cdot (2 π \cdot 3)$

Cancel the common factor.

$\frac{2 \cdot 23}{2 \cdot 180} \cdot (2 π \cdot 3)$

Rewrite the expression.

$\frac{23}{180} \cdot (2 π \cdot 3)$

Multiply $3$ by $2$ .

$\frac{23}{180} \cdot (6 π)$

Cancel the common factor of $6$ .

Factor $6$ out of $180$ .

$\frac{23}{6 (30)} \cdot (6 π)$

Factor $6$ out of $6 π$ .

$\frac{23}{6 (30)} \cdot (6 (π))$

Cancel the common factor.

$\frac{23}{6 \cdot 30} \cdot (6 π)$

Rewrite the expression.

$\frac{23}{30} \cdot π$

Combine $\frac{23}{30}$ and $π$ .

$\frac{23 π}{30}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23 π}{30}$

Decimal Form:

$2.40855436 \dots$