Solve 1785/12pi/5div10.1

$$\frac { \frac { 1785 } { 12 } \pi } { 5 \div 10.1 }$$

Evaluate

$$\frac{12019\pi }{40}\approx 943.970052587$$

Solution Steps

Reduce the fraction \frac{1785}{12} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{595}{4}\pi }{\frac{5}{10.1}}$$

Expand \frac{5}{10.1} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{595}{4}\pi }{\frac{50}{101}}$$

Divide \frac{595}{4}\pi by \frac{50}{101} by multiplying \frac{595}{4}\pi by the reciprocal of \frac{50}{101}.

$$\frac{\frac{595}{4}\pi \times 101}{50}$$

Express \frac{595}{4}\times 101 as a single fraction.

$$\frac{\frac{595\times 101}{4}\pi }{50}$$

Multiply 595 and 101 to get 60095.

$$\frac{\frac{60095}{4}\pi }{50}$$

Divide \frac{60095}{4}\pi by 50 to get \frac{12019}{40}\pi .

$$\frac{12019}{40}\pi$$