Solve 0.5/200-1.5/200

$$\frac { 0.5 } { 200 } - \frac { 1.5 } { 200 }$$

Evaluate

$$-0.005$$

Solution Steps

Expand \frac{0.5}{200} by multiplying both numerator and the denominator by 10.

$$\frac{5}{2000}-\frac{1.5}{200}$$

Reduce the fraction \frac{5}{2000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{400}-\frac{1.5}{200}$$

Expand \frac{1.5}{200} by multiplying both numerator and the denominator by 10.

$$\frac{1}{400}-\frac{15}{2000}$$

Reduce the fraction \frac{15}{2000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{400}-\frac{3}{400}$$

Since \frac{1}{400} and \frac{3}{400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{400}$$

Subtract 3 from 1 to get -2.

$$\frac{-2}{400}$$

Reduce the fraction \frac{-2}{400} to lowest terms by extracting and canceling out 2.

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

Factor

$$-0.005$$