Solve 0.01div(0.057/3602pi)

$$0.01 \div ( \frac{ 0.057 }{ 360 } 2 \pi )$$

Evaluate

$$\frac{600}{19\pi }\approx 10.051891143$$

Solution Steps

Expand \frac{0.057}{360} by multiplying both numerator and the denominator by 1000.

$$\frac{0.01}{\frac{57}{360000}\times 2\pi }$$

Reduce the fraction \frac{57}{360000} to lowest terms by extracting and canceling out 3.

$$\frac{0.01}{\frac{19}{120000}\times 2\pi }$$

Express \frac{19}{120000}\times 2 as a single fraction.

$$\frac{0.01}{\frac{19\times 2}{120000}\pi }$$

Multiply 19 and 2 to get 38.

$$\frac{0.01}{\frac{38}{120000}\pi }$$

Reduce the fraction \frac{38}{120000} to lowest terms by extracting and canceling out 2.

$$\frac{0.01}{\frac{19}{60000}\pi }$$