Evaluate (2pi)/((10pi)/3)

$\frac{2 π}{\frac{10 π}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{3}{10 π}$

Step 2

Cancel the common factor of $2 π$ .

Factor $2 π$ out of $10 π$ .

$2 π \frac{3}{2 π (5)}$

Cancel the common factor.

$2 π \frac{3}{2 π \cdot 5}$

Rewrite the expression.

$\frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$