Solve 66.67*2.5div210div12.5div12.5div3.14

$$66.67 \times 2.5 \div 210 \div 12.5 \div 12.5 \div 3.14$$

Evaluate

$$\frac{6667}{4121250}\approx 0.001617713$$

Solution Steps

Express \frac{\frac{\frac{\frac{66.67\times 2.5}{210}}{12.5}}{12.5}}{3.14} as a single fraction.

$$\frac{\frac{\frac{66.67\times 2.5}{210}}{12.5}}{12.5\times 3.14}$$

Express \frac{\frac{66.67\times 2.5}{210}}{12.5} as a single fraction.

$$\frac{\frac{66.67\times 2.5}{210\times 12.5}}{12.5\times 3.14}$$

Multiply 66.67 and 2.5 to get 166.675.

$$\frac{\frac{166.675}{210\times 12.5}}{12.5\times 3.14}$$

Multiply 210 and 12.5 to get 2625.

$$\frac{\frac{166.675}{2625}}{12.5\times 3.14}$$

Expand \frac{166.675}{2625} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{166675}{2625000}}{12.5\times 3.14}$$

Reduce the fraction \frac{166675}{2625000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{6667}{105000}}{12.5\times 3.14}$$

Multiply 12.5 and 3.14 to get 39.25.

$$\frac{\frac{6667}{105000}}{39.25}$$

Express \frac{\frac{6667}{105000}}{39.25} as a single fraction.

$$\frac{6667}{105000\times 39.25}$$

Multiply 105000 and 39.25 to get 4121250.

$$\frac{6667}{4121250}$$

Factor

$$\frac{59 \cdot 113}{2 \cdot 3 \cdot 7 \cdot 157 \cdot 5 ^ {4}} = 0.0016177130724901426$$