Solve 1/(3+6+(frac{1{pi}sin3pi)}

$$\frac { 1 } { ( 3 + 6 + ( \frac { 1 } { \pi } \sin 3 \pi ) }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Short Solution Steps

Add 3 and 6 to get 9.

$$\frac{1}{9+\frac{1}{\pi }\sin(3\pi )}$$

Express \frac{1}{\pi }\sin(3\pi ) as a single fraction.

$$\frac{1}{9+\frac{\sin(3\pi )}{\pi }}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 9 times \frac{\pi }{\pi }.

$$\frac{1}{\frac{9\pi }{\pi }+\frac{\sin(3\pi )}{\pi }}$$

Since \frac{9\pi }{\pi } and \frac{\sin(3\pi )}{\pi } have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{9\pi +\sin(3\pi )}{\pi }}$$

Combine like terms in 9\pi +\sin(3\pi ).

$$\frac{1}{\frac{9\pi }{\pi }}$$

Cancel out \pi and \pi .

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$