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\frac{4\times 5\pi }{36}+\frac{3\pi }{36}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 12 is 36. Multiply \frac{5\pi }{9} times \frac{4}{4}. Multiply \frac{\pi }{12} times \frac{3}{3}.
\frac{4\times 5\pi +3\pi }{36}
Since \frac{4\times 5\pi }{36} and \frac{3\pi }{36} have the same denominator, add them by adding their numerators.
\frac{20\pi +3\pi }{36}
Do the multiplications in 4\times 5\pi +3\pi .
\frac{23\pi }{36}
Combine like terms in 20\pi +3\pi .