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\frac{2\pi }{3}-\frac{3\pi }{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply \pi times \frac{3}{3}.
\frac{2\pi -3\pi }{3}
Since \frac{2\pi }{3} and \frac{3\pi }{3} have the same denominator, subtract them by subtracting their numerators.
\frac{-\pi }{3}
Combine like terms in 2\pi -3\pi .