Solve n*pi*5/180=2pi*60/13

$$\frac { n \cdot \pi \cdot 5 } { 180 } = 2 \pi \cdot \frac { 60 } { 13 }$$

Solve for n

$$n = \frac{4320}{13} = 332\frac{4}{13} \approx 332.307692308$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2340, the least common multiple of 180,13.

$$13n\pi \times 5=4680\pi \times \frac{60}{13}$$

Multiply 13 and 5 to get 65.

$$65n\pi =4680\pi \times \frac{60}{13}$$

Express 4680\times \frac{60}{13} as a single fraction.

$$65n\pi =\frac{4680\times 60}{13}\pi$$

Multiply 4680 and 60 to get 280800.

$$65n\pi =\frac{280800}{13}\pi$$

Divide 280800 by 13 to get 21600.

$$65n\pi =21600\pi$$

Cancel out \pi on both sides.

$$65n=21600$$

Divide both sides by 65.

$$n=\frac{21600}{65}$$

Reduce the fraction \frac{21600}{65} to lowest terms by extracting and canceling out 5.

$$n=\frac{4320}{13}$$