Solve 0.5/20-1/25

$$\frac{ 0.5 }{ 20 } - \frac{ 1 }{ 25 }$$

Evaluate

$$-0.015$$

Solution Steps

Expand \frac{0.5}{20} by multiplying both numerator and the denominator by 10.

$$\frac{5}{200}-\frac{1}{25}$$

Reduce the fraction \frac{5}{200} to lowest terms by extracting and canceling out 5.

$$\frac{1}{40}-\frac{1}{25}$$

Least common multiple of 40 and 25 is 200. Convert \frac{1}{40} and \frac{1}{25} to fractions with denominator 200.

$$\frac{5}{200}-\frac{8}{200}$$

Since \frac{5}{200} and \frac{8}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-8}{200}$$

Subtract 8 from 5 to get -3.

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

Factor

$$-0.015$$