Evaluate
-\frac{23\pi }{3}\approx -24.085543678
Expand
-\frac{23 \pi}{3} = -24.085543677521745
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6\times \frac{-5\pi +\pi }{3}+\frac{\pi }{3}
Since -\frac{5\pi }{3} and \frac{\pi }{3} have the same denominator, add them by adding their numerators.
6\times \frac{-4\pi }{3}+\frac{\pi }{3}
Combine like terms in -5\pi +\pi .
2\left(-4\right)\pi +\frac{\pi }{3}
Cancel out 3, the greatest common factor in 6 and 3.
-8\pi +\frac{\pi }{3}
Multiply 2 and -4 to get -8.
-\frac{23}{3}\pi
Combine -8\pi and \frac{\pi }{3} to get -\frac{23}{3}\pi .
6\times \frac{-5\pi +\pi }{3}+\frac{\pi }{3}
Since -\frac{5\pi }{3} and \frac{\pi }{3} have the same denominator, add them by adding their numerators.
6\times \frac{-4\pi }{3}+\frac{\pi }{3}
Combine like terms in -5\pi +\pi .
2\left(-4\right)\pi +\frac{\pi }{3}
Cancel out 3, the greatest common factor in 6 and 3.
-8\pi +\frac{\pi }{3}
Multiply 2 and -4 to get -8.
-\frac{23}{3}\pi
Combine -8\pi and \frac{\pi }{3} to get -\frac{23}{3}\pi .
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Limits
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