Here we'll be using PEMDAS: Parentheses, Exponent, Multiplication, Division, Addition, Subtraction
[tex]1-\frac{2}{3}+\frac{9}{2}[/tex]
Simplify the denominator (multiplication)
[tex]\frac{6-4+27}{6}[/tex]
Addition and Subtraction
[tex]\frac{29}{6}[/tex]
29/6