Solve 3/5-[-1*(-1/2):3/2]

$$\frac { 3 } { 5 } - [ - 1 \times ( - \frac { 1 } { 2 } ) : \frac { 3 } { 2 } ]$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

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

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

Divide \frac{1}{2} by \frac{3}{2} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{2}.

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

Multiply \frac{1}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 2 in both numerator and denominator.

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

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{9}{15}-\frac{5}{15}$$

Since \frac{9}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{15}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$