Solve =-frac{1}2^2+1/frac{1{2}+8}

$$= - \frac { 1 } { 2 } ^ { 2 } + \frac { 1 } { \frac { 1 } { 2 } + 8 }$$

Evaluate

$$-\frac{9}{68}\approx -0.132352941$$

Solution Steps

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

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

Convert 8 to fraction \frac{16}{2}.

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

Since \frac{1}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 16 to get 17.

$$-\frac{1}{4}+\frac{1}{\frac{17}{2}}$$

Divide 1 by \frac{17}{2} by multiplying 1 by the reciprocal of \frac{17}{2}.

$$-\frac{1}{4}+1\times \frac{2}{17}$$

Multiply 1 and \frac{2}{17} to get \frac{2}{17}.

$$-\frac{1}{4}+\frac{2}{17}$$

Least common multiple of 4 and 17 is 68. Convert -\frac{1}{4} and \frac{2}{17} to fractions with denominator 68.

$$-\frac{17}{68}+\frac{8}{68}$$

Since -\frac{17}{68} and \frac{8}{68} have the same denominator, add them by adding their numerators.

$$\frac{-17+8}{68}$$

Add -17 and 8 to get -9.

$$-\frac{9}{68}$$

Factor

$$-\frac{9}{68} = -0.1323529411764706$$