Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
Add the unshaded parts and subtract the result from 1 ( whole circle )
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{9}[/tex] ( the LCM of 2 and 9 is 18 )
= [tex]\frac{9(1)}{9(2)}[/tex] + [tex]\frac{2(1)}{2(9)}[/tex]
= [tex]\frac{9}{18}[/tex] + [tex]\frac{2}{18}[/tex]
= [tex]\frac{11}{18}[/tex]
shaded = 1 - [tex]\frac{11}{18}[/tex] = [tex]\frac{18}{18}[/tex] - [tex]\frac{11}{18}[/tex] = [tex]\frac{7}{18}[/tex]