Solve 1div2div3.14div1000div3180

$$1 \div 2 \div 3.14 \div 1000 \div 3180$$

Evaluate

$$\frac{1}{19970400}\approx 0.00000005$$

Solution Steps

Express \frac{\frac{\frac{\frac{1}{2}}{3.14}}{1000}}{3180} as a single fraction.

$$\frac{\frac{\frac{1}{2}}{3.14}}{1000\times 3180}$$

Express \frac{\frac{1}{2}}{3.14} as a single fraction.

$$\frac{\frac{1}{2\times 3.14}}{1000\times 3180}$$

Multiply 2 and 3.14 to get 6.28.

$$\frac{\frac{1}{6.28}}{1000\times 3180}$$

Expand \frac{1}{6.28} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{100}{628}}{1000\times 3180}$$

Reduce the fraction \frac{100}{628} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{25}{157}}{1000\times 3180}$$

Multiply 1000 and 3180 to get 3180000.

$$\frac{\frac{25}{157}}{3180000}$$

Express \frac{\frac{25}{157}}{3180000} as a single fraction.

$$\frac{25}{157\times 3180000}$$

Multiply 157 and 3180000 to get 499260000.

$$\frac{25}{499260000}$$

Reduce the fraction \frac{25}{499260000} to lowest terms by extracting and canceling out 25.

$$\frac{1}{19970400}$$

Factor

$$\frac{1}{3 \cdot 53 \cdot 157 \cdot 2 ^ {5} \cdot 5 ^ {2}} = 5.007410968232985 \times 10^{-8}$$