Solve |-(5+1/2)-1|=

$$| - ( 5 + \frac { 1 } { 2 } ) - 1 | =$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Convert 5 to fraction \frac{10}{2}.

$$|-\left(\frac{10}{2}+\frac{1}{2}\right)-1|$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$|-\frac{10+1}{2}-1|$$

Add 10 and 1 to get 11.

$$|-\frac{11}{2}-1|$$

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

$$|-\frac{11}{2}-\frac{2}{2}|$$

Since -\frac{11}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{-11-2}{2}|$$

Subtract 2 from -11 to get -13.

$$|-\frac{13}{2}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{13}{2} is \frac{13}{2}.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$