Solve 3.01-2/3.01^2-3.01-2

$$\frac{ 3.01-2 }{ { 3.01 }^{ 2 } -3.01-2 }$$

Evaluate

$$\frac{100}{401}\approx 0.249376559$$

Solution Steps

Subtract 2 from 3.01 to get 1.01.

$$\frac{1.01}{3.01^{2}-3.01-2}$$

Calculate 3.01 to the power of 2 and get 9.0601.

$$\frac{1.01}{9.0601-3.01-2}$$

Subtract 3.01 from 9.0601 to get 6.0501.

$$\frac{1.01}{6.0501-2}$$

Subtract 2 from 6.0501 to get 4.0501.

$$\frac{1.01}{4.0501}$$

Expand \frac{1.01}{4.0501} by multiplying both numerator and the denominator by 10000.

$$\frac{10100}{40501}$$

Reduce the fraction \frac{10100}{40501} to lowest terms by extracting and canceling out 101.

$$\frac{100}{401}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{401} = 0.24937655860349128$$