Solve (75000div11)*1-1/111^6

$$(75000 \div 11) \times 1- \frac{ 1 }{ { 111 }^{ 6 } }$$

Evaluate

$$\frac{140281091412074989}{20574560073771}\approx 6818.181818182$$

Solution Steps

Multiply \frac{75000}{11} and 1 to get \frac{75000}{11}.

$$\frac{75000}{11}-\frac{1}{111^{6}}$$

Calculate 111 to the power of 6 and get 1870414552161.

$$\frac{75000}{11}-\frac{1}{1870414552161}$$

Least common multiple of 11 and 1870414552161 is 20574560073771. Convert \frac{75000}{11} and \frac{1}{1870414552161} to fractions with denominator 20574560073771.

$$\frac{140281091412075000}{20574560073771}-\frac{11}{20574560073771}$$

Since \frac{140281091412075000}{20574560073771} and \frac{11}{20574560073771} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140281091412075000-11}{20574560073771}$$

Subtract 11 from 140281091412075000 to get 140281091412074989.

$$\frac{140281091412074989}{20574560073771}$$

Factor

$$\frac{19 \cdot 83 \cdot 2371 \cdot 10271 \cdot 3652777}{3 ^ {6} \cdot 11 \cdot 37 ^ {6}} = 6818\frac{3740829104314}{20574560073771} = 6818.181818181818$$