Solve 30pi/180=30pi/180=pi/6

$$30 \frac{ \pi }{ 180 } = \frac{ 30 \pi }{ 180 } = \frac{ \pi }{ 6 }$$

Verify

Solution Steps

Cancel out 180, the greatest common factor in 30 and 180.

$$\frac{\pi }{6}=\frac{30\pi }{180}\text{ and }\frac{30\pi }{180}=\frac{\pi }{6}$$

Divide 30\pi by 180 to get \frac{1}{6}\pi .

$$\frac{\pi }{6}=\frac{1}{6}\pi \text{ and }\frac{30\pi }{180}=\frac{\pi }{6}$$

Divide 30\pi by 180 to get \frac{1}{6}\pi .

$$\frac{\pi }{6}=\frac{1}{6}\pi \text{ and }\frac{1}{6}\pi =\frac{\pi }{6}$$

Subtract \frac{1}{6}\pi from both sides.

$$\frac{\pi }{6}-\frac{1}{6}\pi =0\text{ and }\frac{1}{6}\pi =\frac{\pi }{6}$$

Combine \frac{\pi }{6} and -\frac{1}{6}\pi to get 0.

$$0=0\text{ and }\frac{1}{6}\pi =\frac{\pi }{6}$$

Compare 0 and 0.

$$\text{true}\text{ and }\frac{1}{6}\pi =\frac{\pi }{6}$$

Subtract \frac{\pi }{6} from both sides.

$$\text{true}\text{ and }\frac{1}{6}\pi -\frac{\pi }{6}=0$$

Combine \frac{1}{6}\pi and -\frac{\pi }{6} to get 0.

$$\text{true}\text{ and }0=0$$

Compare 0 and 0.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$