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\frac{2\pi }{8}+\frac{3\pi }{8}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 8 is 8. Multiply \frac{\pi }{4} times \frac{2}{2}.
\frac{2\pi +3\pi }{8}
Since \frac{2\pi }{8} and \frac{3\pi }{8} have the same denominator, add them by adding their numerators.
\frac{5\pi }{8}
Combine like terms in 2\pi +3\pi .