Solve 6850div2div24div7div7div3.1415927

$$6850 \div 2 \div 24 \div 7 \div 7 \div 3.1415927$$

Evaluate

$$\frac{4281250000}{4618141269}\approx 0.927050463$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{6850}{2}}{24}}{7}}{7}}{3.1415927} as a single fraction.

$$\frac{\frac{\frac{\frac{6850}{2}}{24}}{7}}{7\times 3.1415927}$$

Express \frac{\frac{\frac{6850}{2}}{24}}{7} as a single fraction.

$$\frac{\frac{\frac{6850}{2}}{24\times 7}}{7\times 3.1415927}$$

Divide 6850 by 2 to get 3425.

$$\frac{\frac{3425}{24\times 7}}{7\times 3.1415927}$$

Multiply 24 and 7 to get 168.

$$\frac{\frac{3425}{168}}{7\times 3.1415927}$$

Multiply 7 and 3.1415927 to get 21.9911489.

$$\frac{\frac{3425}{168}}{21.9911489}$$

Express \frac{\frac{3425}{168}}{21.9911489} as a single fraction.

$$\frac{3425}{168\times 21.9911489}$$

Multiply 168 and 21.9911489 to get 3694.5130152.

$$\frac{3425}{3694.5130152}$$

Expand \frac{3425}{3694.5130152} by multiplying both numerator and the denominator by 10000000.

$$\frac{34250000000}{36945130152}$$

Reduce the fraction \frac{34250000000}{36945130152} to lowest terms by extracting and canceling out 8.

$$\frac{4281250000}{4618141269}$$

Factor

$$\frac{137 \cdot 2 ^ {4} \cdot 5 ^ {9}}{3 \cdot 31 \cdot 103 \cdot 9839 \cdot 7 ^ {2}} = 0.9270504626479411$$