Evaluate 46/360(2pi*20)

$\frac{46}{360} (2 π \cdot 20)$

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

Factor $2$ out of $46$ .

$\frac{2 (23)}{360} \cdot (2 π \cdot 20)$

Cancel the common factors.

Factor $2$ out of $360$ .

$\frac{2 \cdot 23}{2 \cdot 180} \cdot (2 π \cdot 20)$

Cancel the common factor.

$\frac{2 \cdot 23}{2 \cdot 180} \cdot (2 π \cdot 20)$

Rewrite the expression.

$\frac{23}{180} \cdot (2 π \cdot 20)$

Multiply $20$ by $2$ .

$\frac{23}{180} \cdot (40 π)$

Cancel the common factor of $20$ .

Factor $20$ out of $180$ .

$\frac{23}{20 (9)} \cdot (40 π)$

Factor $20$ out of $40 π$ .

$\frac{23}{20 (9)} \cdot (20 (2 π))$

Cancel the common factor.

$\frac{23}{20 \cdot 9} \cdot (20 (2 π))$

Rewrite the expression.

$\frac{23}{9} \cdot (2 π)$

Combine $2$ and $\frac{23}{9}$ .

$\frac{2 \cdot 23}{9} \cdot π$

Multiply $2$ by $23$ .

$\frac{46}{9} \cdot π$

Combine $\frac{46}{9}$ and $π$ .

$\frac{46 π}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{46 π}{9}$

Decimal Form:

$16.05702911 \dots$