Evaluate
-\frac{\pi }{6}\approx -0.523598776
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\frac{2\times 2\pi }{6}-\frac{5\pi }{6}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 6 is 6. Multiply \frac{2\pi }{3} times \frac{2}{2}.
\frac{2\times 2\pi -5\pi }{6}
Since \frac{2\times 2\pi }{6} and \frac{5\pi }{6} have the same denominator, subtract them by subtracting their numerators.
\frac{4\pi -5\pi }{6}
Do the multiplications in 2\times 2\pi -5\pi .
\frac{-\pi }{6}
Combine like terms in 4\pi -5\pi .
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