Solve (0)1/2-[3/5+5/3]

$$( 0 ) \frac { 1 } { 2 } - [ \frac { 3 } { 5 } + \frac { 5 } { 3 } ]$$

Evaluate

$$-\frac{34}{15}\approx -2.266666667$$

Solution Steps

Multiply 0 and \frac{1}{2} to get 0.

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

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{5}{3} to fractions with denominator 15.

$$0-\left(\frac{9}{15}+\frac{25}{15}\right)$$

Since \frac{9}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$0-\frac{9+25}{15}$$

Add 9 and 25 to get 34.

$$0-\frac{34}{15}$$

Subtract \frac{34}{15} from 0 to get -\frac{34}{15}.

$$-\frac{34}{15}$$

Factor

$$-\frac{34}{15} = -2\frac{4}{15} = -2.2666666666666666$$