$0.5+|-1 \frac{ 1 }{ 2 }|$
The absolute value of any expression is always positive or $0$$0.5+1 \frac{ 1 }{ 2 }$
Convert the decimal into a fraction$\frac{ 1 }{ 2 }+1 \frac{ 1 }{ 2 }$
Convert the mixed number to an improper fraction$\frac{ 1 }{ 2 }+\frac{ 3 }{ 2 }$
Add the fractions$2$