Solve .5%-2%=

$$.5 \% - 2 \% =$$

Evaluate

$$-0.015$$

Solution Steps

Expand \frac{0.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{5}{1000}-\frac{2}{100}$$

Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{200}-\frac{2}{100}$$

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

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

Least common multiple of 200 and 50 is 200. Convert \frac{1}{200} and \frac{1}{50} to fractions with denominator 200.

$$\frac{1}{200}-\frac{4}{200}$$

Since \frac{1}{200} and \frac{4}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-4}{200}$$

Subtract 4 from 1 to get -3.

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

Factor

$$-0.015$$