Solve (1-0.2/100)

$$( 1 - \frac { 0.2 } { 100 } )$$

Evaluate

$$0.998$$

Solution Steps

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$1-\frac{2}{1000}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$1-\frac{1}{500}$$

Convert 1 to fraction \frac{500}{500}.

$$\frac{500}{500}-\frac{1}{500}$$

Since \frac{500}{500} and \frac{1}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{500-1}{500}$$

Subtract 1 from 500 to get 499.

$$\frac{499}{500}$$

Factor

$$\frac{499}{2 ^ {2} \cdot 5 ^ {3}} = 0.998$$