Answer:
The fraction of the circle that is shaded is;
[tex]\frac{11}{21}[/tex]
Explanation:
Given the figure in the attached image, we want to find how much of the given circle is shaded.
From the figure, the unshaded part of the circle is the sum of the two unshaded parts;
[tex]\begin{gathered} \frac{1}{3}+\frac{1}{7} \\ =\frac{7+3}{21} \\ =\frac{10}{21} \end{gathered}[/tex]
The shaded part can be derived by subtracting the unshaded part from 1;
[tex]\begin{gathered} 1-\frac{10}{21} \\ =\frac{21-10}{21} \\ =\frac{11}{21} \end{gathered}[/tex]
Therefore, the fraction of the circle that is shaded is;
[tex]\frac{11}{21}[/tex]
