What is join (2pi)/3-2pi ?

The solution to join (2pi)/3-2pi is -(4pi)/3

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join (2pi)/3-2pi

join

\frac{2 π}{3} - 2 π

- \frac{4 π}{3}

Solution steps

\frac{2 π}{3} - 2 π

Convert element to fraction:

2 π = \frac{2 π 3}{3}

= \frac{2 π}{3} - \frac{2 π 3}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{2 π - 2 π 3}{3}

2 π - 2 π 3 = - 4 π

= \frac{- 4 π}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{4 π}{3}

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