Solve (0,8-4/5)-(0,5-3/10)

$$( 0,8 - \frac { 4 } { 5 } ) - ( 0,5 - \frac { 3 } { 10 } )$$

Evaluate

$$-0,2$$

Solution Steps

Subtract \frac{4}{5} from 0,8 to get 0.

$$0-\left(0,5-\frac{3}{10}\right)$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$0-\left(\frac{1}{2}-\frac{3}{10}\right)$$

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

$$0-\left(\frac{5}{10}-\frac{3}{10}\right)$$

Since \frac{5}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$0-\frac{5-3}{10}$$

Subtract 3 from 5 to get 2.

$$0-\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$0-\frac{1}{5}$$

Subtract \frac{1}{5} from 0 to get -\frac{1}{5}.

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

Factor

$$-0,2$$