Solve |1/2-1-2|

$$| \frac { 1 } { 2 } - 1 - 2 |$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$|\frac{1}{2}-\frac{2}{2}-2|$$

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

$$|\frac{1-2}{2}-2|$$

Subtract 2 from 1 to get -1.

$$|-\frac{1}{2}-2|$$

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

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

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

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

Subtract 4 from -1 to get -5.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{5}{2} is \frac{5}{2}.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$