Evaluate (2pi)/((7pi)/5)

$\frac{2 π}{\frac{7 π}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{5}{7 π}$

Cancel the common factor of $π$ .

Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{5}{7 π}$

Factor $π$ out of $7 π$ .

$π \cdot 2 \frac{5}{π \cdot 7}$

Cancel the common factor.

$π \cdot 2 \frac{5}{π \cdot 7}$

Rewrite the expression.

$2 (\frac{5}{7})$

Combine $2$ and $\frac{5}{7}$ .

$\frac{2 \cdot 5}{7}$

Multiply $2$ by $5$ .

$\frac{10}{7}$

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{7}$

Decimal Form:

$1.\overline{428571}$

Mixed Number Form:

$1 \frac{3}{7}$