Solve -{-2-[-2/2-(-2/2)-(-2/8)+1/1]-1}=

$$- \{ - 2 - [ - \frac { 2 } { 2 } - ( - \frac { 2 } { 2 } ) - ( - \frac { 2 } { 8 } ) + \frac { 1 } { 1 } ] - 1 \} =$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Divide 2 by 2 to get 1.

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

Divide 2 by 2 to get 1.

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

Divide 1 by 1 to get 1.

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

The opposite of -1 is 1.

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

Add -1 and 1 to get 0.

$$-\left(-2-\left(0-\left(-\frac{2}{8}\right)+1\right)-1\right)$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$-\left(-2-\left(0-\left(-\frac{1}{4}\right)+1\right)-1\right)$$

The opposite of -\frac{1}{4} is \frac{1}{4}.

$$-\left(-2-\left(0+\frac{1}{4}+1\right)-1\right)$$

Add 0 and \frac{1}{4} to get \frac{1}{4}.

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

Convert 1 to fraction \frac{4}{4}.

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

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

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

Add 1 and 4 to get 5.

$$-\left(-2-\frac{5}{4}-1\right)$$

Convert -2 to fraction -\frac{8}{4}.

$$-\left(-\frac{8}{4}-\frac{5}{4}-1\right)$$

Since -\frac{8}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\left(\frac{-8-5}{4}-1\right)$$

Subtract 5 from -8 to get -13.

$$-\left(-\frac{13}{4}-1\right)$$

Convert 1 to fraction \frac{4}{4}.

$$-\left(-\frac{13}{4}-\frac{4}{4}\right)$$

Since -\frac{13}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{-13-4}{4}$$

Subtract 4 from -13 to get -17.

$$-\left(-\frac{17}{4}\right)$$

The opposite of -\frac{17}{4} is \frac{17}{4}.

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

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$