Solve 200-(2/100)

$$200 - ( \frac { 2 } { 100 } )$$

Evaluate

$$\frac{9999}{50}=199.98$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$200-\frac{1}{50}$$

Convert 200 to fraction \frac{10000}{50}.

$$\frac{10000}{50}-\frac{1}{50}$$

Since \frac{10000}{50} and \frac{1}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10000-1}{50}$$

Subtract 1 from 10000 to get 9999.

$$\frac{9999}{50}$$

Factor

$$\frac{3 ^ {2} \cdot 11 \cdot 101}{2 \cdot 5 ^ {2}} = 199\frac{49}{50} = 199.98$$