The given expression is:
[tex]\frac{1}{2}\;of\;4\frac{2}{9}[/tex]The term 'of' in algebra means multiplication. So the expression becomes:
[tex]\frac{1}{2}\times4\frac{2}{9}[/tex]Write the mixed fraction as an improper fraction:
[tex]\frac{1}{2}\times\frac{38}{9}[/tex]Simplify the expression:
[tex]\frac{1}{\cancel{2}}\times\frac{\cancel{38}19}{9}=\frac{19}{9}=2\frac{1}{9}[/tex]The answer is 2 1/9.