Evaluate 60/360(2pi*18)

$\frac{60}{360} (2 π \cdot 18)$

Cancel the common factor of $60$ and $360$ .

Factor $60$ out of $60$ .

$\frac{60 (1)}{360} \cdot (2 π \cdot 18)$

Cancel the common factors.

Factor $60$ out of $360$ .

$\frac{60 \cdot 1}{60 \cdot 6} \cdot (2 π \cdot 18)$

Cancel the common factor.

$\frac{60 \cdot 1}{60 \cdot 6} \cdot (2 π \cdot 18)$

Rewrite the expression.

$\frac{1}{6} \cdot (2 π \cdot 18)$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{1}{2 (3)} \cdot (2 π \cdot 18)$

Factor $2$ out of $2 π \cdot 18$ .

$\frac{1}{2 (3)} \cdot (2 (π \cdot 18))$

Cancel the common factor.

$\frac{1}{2 \cdot 3} \cdot (2 (π \cdot 18))$

Rewrite the expression.

$\frac{1}{3} \cdot (π \cdot 18)$

Combine $π$ and $\frac{1}{3}$ .

$\frac{π}{3} \cdot 18$

Combine $\frac{π}{3}$ and $18$ .

$\frac{π \cdot 18}{3}$

Cancel the common factor of $18$ and $3$ .

Factor $3$ out of $π \cdot 18$ .

$\frac{3 (π \cdot 6)}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$\frac{3 (π \cdot 6)}{3 (1)}$

Cancel the common factor.

$\frac{3 (π \cdot 6)}{3 \cdot 1}$

Rewrite the expression.

$\frac{π \cdot 6}{1}$

Divide $π \cdot 6$ by $1$ .

$π \cdot 6$

Move $6$ to the left of $π$ .

$6 π$

The result can be shown in multiple forms.

Exact Form:

$6 π$

Decimal Form:

$18.84955592 \dots$