Solve 3/20-0.13

$$\frac { 3 } { 20 } - 0.13$$

Evaluate

$$0.02$$

Solution Steps

Convert decimal number 0.13 to fraction \frac{13}{100}.

$$\frac{3}{20}-\frac{13}{100}$$

Least common multiple of 20 and 100 is 100. Convert \frac{3}{20} and \frac{13}{100} to fractions with denominator 100.

$$\frac{15}{100}-\frac{13}{100}$$

Since \frac{15}{100} and \frac{13}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-13}{100}$$

Subtract 13 from 15 to get 2.

$$\frac{2}{100}$$

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

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$