Evaluate (2pi)/((8pi)/5)

$\frac{2 π}{\frac{8 π}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{5}{8 π}$

Step 2

Cancel the common factor of $2 π$ .

Factor $2 π$ out of $8 π$ .

$2 π \frac{5}{2 π (4)}$

Cancel the common factor.

$2 π \frac{5}{2 π \cdot 4}$

Rewrite the expression.

$\frac{5}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$