Solve 19/20-7/20-1/2

$$\frac { 19 } { 20 } - \frac { 7 } { 20 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Since \frac{19}{20} and \frac{7}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-7}{20}-\frac{1}{2}$$

Subtract 7 from 19 to get 12.

$$\frac{12}{20}-\frac{1}{2}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{6}{10}-\frac{5}{10}$$

Since \frac{6}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{10}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$