[ Answer ]
[tex]\boxed{\frac{17}{18}}[/tex]
[ Explanation ]
[tex]3\frac{1}{2}[/tex] - [tex]2\frac{5}{9}[/tex]
Rewrite Equation W/ Parts Separated
3 + [tex]\frac{1}{2}[/tex] - 2 - [tex]\frac{5}{9}[/tex]
Solve Whole Number Parts
3 - 2 = 1
Solve Fraction Parts
[tex]\frac{1}{2}[/tex] - [tex]\frac{5}{9}[/tex] = ?
Find LCD: LCD = 18
Rewrite Fractions Using LCD
[tex]\frac{9}{18}[/tex] - [tex]\frac{10}{18}[/tex] = [tex]-\frac{1}{18}[/tex]
Combine Whole Number And Fraction Parts
1 - [tex]\frac{1}{18}[/tex] = [tex]\frac{7}{18}[/tex]
[tex]\boxed{[ \ Eclipsed \ ]}[/tex]
