Solve 200-(1-30%)

$$200-(1-30 \% )$$

Evaluate

$$\frac{1993}{10}=199.3$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$200-\left(1-\frac{3}{10}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$200-\left(\frac{10}{10}-\frac{3}{10}\right)$$

Since \frac{10}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$200-\frac{10-3}{10}$$

Subtract 3 from 10 to get 7.

$$200-\frac{7}{10}$$

Convert 200 to fraction \frac{2000}{10}.

$$\frac{2000}{10}-\frac{7}{10}$$

Since \frac{2000}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2000-7}{10}$$

Subtract 7 from 2000 to get 1993.

$$\frac{1993}{10}$$

Factor

$$\frac{1993}{2 \cdot 5} = 199\frac{3}{10} = 199.3$$