Solve 3pi/4+pi/6

$$\frac{ 3 \pi }{ 4 } + \frac{ \pi }{ 6 }$$

Evaluate

$$\frac{11\pi }{12}\approx 2.879793266$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 6 is 12. Multiply \frac{3\pi }{4} times \frac{3}{3}. Multiply \frac{\pi }{6} times \frac{2}{2}.

$$\frac{3\times 3\pi }{12}+\frac{2\pi }{12}$$

Since \frac{3\times 3\pi }{12} and \frac{2\pi }{12} have the same denominator, add them by adding their numerators.

$$\frac{3\times 3\pi +2\pi }{12}$$

Do the multiplications in 3\times 3\pi +2\pi .

$$\frac{9\pi +2\pi }{12}$$

Combine like terms in 9\pi +2\pi .

$$\frac{11\pi }{12}$$