What is (2pi}{\frac{4pi)/7} ?

The solution to (2pi}{\frac{4pi)/7} is 7/2

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simplify (2pi}{\frac{4pi)/7}

simplify

\frac{2 π}{\frac{4 π}{7}}

\frac{7}{2}

Solution steps

\frac{2 π}{\frac{4 π}{7}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 π 7}{4 π}

Multiply the numbers:

2 \cdot 7 = 14

= \frac{14 π}{4 π}

Cancel the common factor:

2

= \frac{7 π}{2 π}

Cancel the common factor:

π

= \frac{7}{2}

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