Solve 1/2-8/2-1/2/frac{16{4}+frac{1}{4}}

$$\frac { \frac { 1 } { 2 } - \frac { 8 } { 2 } - \frac { 1 } { 2 } } { \frac { 16 } { 4 } + \frac { 1 } { 4 } }$$

Evaluate

$$-\frac{16}{17}\approx -0.941176471$$

Solution Steps

Since \frac{1}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1-8}{2}-\frac{1}{2}}{\frac{16}{4}+\frac{1}{4}}$$

Subtract 8 from 1 to get -7.

$$\frac{-\frac{7}{2}-\frac{1}{2}}{\frac{16}{4}+\frac{1}{4}}$$

Since -\frac{7}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-7-1}{2}}{\frac{16}{4}+\frac{1}{4}}$$

Subtract 1 from -7 to get -8.

$$\frac{\frac{-8}{2}}{\frac{16}{4}+\frac{1}{4}}$$

Divide -8 by 2 to get -4.

$$\frac{-4}{\frac{16}{4}+\frac{1}{4}}$$

Since \frac{16}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-4}{\frac{16+1}{4}}$$

Add 16 and 1 to get 17.

$$\frac{-4}{\frac{17}{4}}$$

Divide -4 by \frac{17}{4} by multiplying -4 by the reciprocal of \frac{17}{4}.

$$-4\times \frac{4}{17}$$

Express -4\times \frac{4}{17} as a single fraction.

$$\frac{-4\times 4}{17}$$

Multiply -4 and 4 to get -16.

$$\frac{-16}{17}$$

Fraction \frac{-16}{17} can be rewritten as -\frac{16}{17} by extracting the negative sign.

$$-\frac{16}{17}$$

Factor

$$-\frac{16}{17} = -0.9411764705882353$$