Solve 0.98^2-1/0.9-1

$$\frac{ { 0.98 }^{ 2 } -1 }{ 0.9-1 }$$

Evaluate

$$0.396$$

Solution Steps

Calculate 0.98 to the power of 2 and get 0.9604.

$$\frac{0.9604-1}{0.9-1}$$

Subtract 1 from 0.9604 to get -0.0396.

$$\frac{-0.0396}{0.9-1}$$

Subtract 1 from 0.9 to get -0.1.

$$\frac{-0.0396}{-0.1}$$

Expand \frac{-0.0396}{-0.1} by multiplying both numerator and the denominator by 10000.

$$\frac{-396}{-1000}$$

Reduce the fraction \frac{-396}{-1000} to lowest terms by extracting and canceling out -4.

$$\frac{99}{250}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 \cdot 5 ^ {3}} = 0.396$$