Solve left|8-5/2right|

$$\left| 8- \frac{ 5 }{ 2 } \right|$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

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

$$|\frac{16}{2}-\frac{5}{2}|$$

Since \frac{16}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{16-5}{2}|$$

Subtract 5 from 16 to get 11.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{11}{2} is \frac{11}{2}.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$