Respuesta :

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.