Solve pi/2+3pi/4/2

$$\frac{ \frac{ \pi }{ 2 } + \frac{ 3 \pi }{ 4 } }{ 2 }$$

Evaluate

$$\frac{5\pi }{8}\approx 1.963495408$$

Short Solution Steps

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

$$\frac{\frac{2\pi }{4}+\frac{3\pi }{4}}{2}$$

Since \frac{2\pi }{4} and \frac{3\pi }{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2\pi +3\pi }{4}}{2}$$

Combine like terms in 2\pi +3\pi .

$$\frac{\frac{5\pi }{4}}{2}$$

Express \frac{\frac{5\pi }{4}}{2} as a single fraction.

$$\frac{5\pi }{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{5\pi }{8}$$

Expand

$$\frac{5 \pi}{8} = 1.9634954084936207$$

Short Solution Steps

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

$$\frac{\frac{2\pi }{4}+\frac{3\pi }{4}}{2}$$

Since \frac{2\pi }{4} and \frac{3\pi }{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2\pi +3\pi }{4}}{2}$$

Combine like terms in 2\pi +3\pi .

$$\frac{\frac{5\pi }{4}}{2}$$

Express \frac{\frac{5\pi }{4}}{2} as a single fraction.

$$\frac{5\pi }{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{5\pi }{8}$$