Simplify (2pi)/(pi/4)

$\frac{2 π}{\frac{π}{4}}$

Multiply the numerator by the reciprocal of the denominator.

$2 π \frac{4}{π}$

Cancel the common factor of $π$ .

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Factor $π$ out of $2 π$ .

$π \cdot 2 \frac{4}{π}$

Cancel the common factor.

$π \cdot 2 \frac{4}{π}$

Rewrite the expression.

$2 \cdot 4$

Multiply $2$ by $4$ .

$8$

Simplify (2pi)/(pi/4)

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