Solve |[1/2]+|1/2|+1/2|=

$$| [ \frac { 1 } { 2 } ] + | \frac { 1 } { 2 } | + \frac { 1 } { 2 } | =$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{1}{2} is \frac{1}{2}.

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

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

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

Add 1 and 1 to get 2.

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

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

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

Add 2 and 1 to get 3.

$$|\frac{3}{2}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{3}{2} is \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$