Solve (5/3pi)(180^circ/pi)

$$( \frac{ 5 }{ 3 } \pi )( \frac{ 180 ^ { \circ } }{ \pi } )$$

Evaluate

$$300$$

Solution Steps

Multiply \frac{5}{3} times \frac{180}{\pi } by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 180}{3\pi }\pi$$

Cancel out 3 in both numerator and denominator.

$$\frac{5\times 60}{\pi }\pi$$

Multiply 5 and 60 to get 300.

$$\frac{300}{\pi }\pi$$

Cancel out \pi and \pi .

$$300$$

Factor

$$2^{2}\times 3\times 5^{2}$$