Solve 3.999-4/3.999^2-3*3.999-4

$$\frac{ 3.999-4 }{ { 3.999 }^{ 2 } -3 \cdot 3.999-4 }$$

Evaluate

$$\frac{1000}{4999}\approx 0.200040008$$

Solution Steps

Subtract 4 from 3.999 to get -0.001.

$$\frac{-0.001}{3.999^{2}-3\times 3.999-4}$$

Calculate 3.999 to the power of 2 and get 15.992001.

$$\frac{-0.001}{15.992001-3\times 3.999-4}$$

Multiply 3 and 3.999 to get 11.997.

$$\frac{-0.001}{15.992001-11.997-4}$$

Subtract 11.997 from 15.992001 to get 3.995001.

$$\frac{-0.001}{3.995001-4}$$

Subtract 4 from 3.995001 to get -0.004999.

$$\frac{-0.001}{-0.004999}$$

Expand \frac{-0.001}{-0.004999} by multiplying both numerator and the denominator by 1000000.

$$\frac{-1000}{-4999}$$

Fraction \frac{-1000}{-4999} can be simplified to \frac{1000}{4999} by removing the negative sign from both the numerator and the denominator.

$$\frac{1000}{4999}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{4999} = 0.20004000800160032$$