How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answer:
[tex]13/28[/tex]
Step-by-step explanation:
Let
x-----> the shaded area
we know that
[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]
Because the complete circle represent the [tex]100\%[/tex]
and
[tex]100\%=100/100=1[/tex]
solve for x
Multiply by [tex]28[/tex] both sides
[tex]28x+7+8=28[/tex]
[tex]28x=28-15[/tex]
[tex]28x=13[/tex]
Divide by [tex]28[/tex] both sides
[tex]x=13/28[/tex] ----> fraction irreducible