Solve 1/4-8/-frac{1{2}}

$$\frac{ \frac{ 1 }{ 4 } -8 }{ - \frac{ 1 }{ 2 } }$$

Evaluate

$$\frac{31}{2}=15.5$$

Solution Steps

Convert 8 to fraction \frac{32}{4}.

$$\frac{\frac{1}{4}-\frac{32}{4}}{-\frac{1}{2}}$$

Since \frac{1}{4} and \frac{32}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1-32}{4}}{-\frac{1}{2}}$$

Subtract 32 from 1 to get -31.

$$\frac{-\frac{31}{4}}{-\frac{1}{2}}$$

Divide -\frac{31}{4} by -\frac{1}{2} by multiplying -\frac{31}{4} by the reciprocal of -\frac{1}{2}.

$$-\frac{31}{4}\left(-2\right)$$

Express -\frac{31}{4}\left(-2\right) as a single fraction.

$$\frac{-31\left(-2\right)}{4}$$

Multiply -31 and -2 to get 62.

$$\frac{62}{4}$$

Reduce the fraction \frac{62}{4} to lowest terms by extracting and canceling out 2.

$$\frac{31}{2}$$

Factor

$$\frac{31}{2} = 15\frac{1}{2} = 15.5$$