Solve -1/2-2/8(-frac{1{2})}

$$\frac { - \frac { 1 } { 2 } - 2 } { 8 ( - \frac { 1 } { 2 } ) }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$\frac{-\frac{1}{2}-\frac{4}{2}}{8\left(-\frac{1}{2}\right)}$$

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-1-4}{2}}{8\left(-\frac{1}{2}\right)}$$

Subtract 4 from -1 to get -5.

$$\frac{-\frac{5}{2}}{8\left(-\frac{1}{2}\right)}$$

Express 8\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{-\frac{5}{2}}{\frac{8\left(-1\right)}{2}}$$

Multiply 8 and -1 to get -8.

$$\frac{-\frac{5}{2}}{\frac{-8}{2}}$$

Divide -8 by 2 to get -4.

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

Express \frac{-\frac{5}{2}}{-4} as a single fraction.

$$\frac{-5}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$\frac{-5}{-8}$$

Fraction \frac{-5}{-8} can be simplified to \frac{5}{8} by removing the negative sign from both the numerator and the denominator.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$