Solve (-2)*(-1/2)^2+5div(-5/3)

$$( - 2 ) \times ( - \frac { 1 } { 2 } ) ^ { 2 } + 5 \div ( - \frac { 5 } { 3 } )$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-2\times \frac{1}{4}+\frac{5}{-\frac{5}{3}}$$

Multiply -2 and \frac{1}{4} to get \frac{-2}{4}.

$$\frac{-2}{4}+\frac{5}{-\frac{5}{3}}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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

Divide 5 by -\frac{5}{3} by multiplying 5 by the reciprocal of -\frac{5}{3}.

$$-\frac{1}{2}+5\left(-\frac{3}{5}\right)$$

Cancel out 5 and 5.

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

Convert 3 to fraction \frac{6}{2}.

$$-\frac{1}{2}-\frac{6}{2}$$

Since -\frac{1}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-6}{2}$$

Subtract 6 from -1 to get -7.

$$-\frac{7}{2}$$

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$