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Verified Answer :

SJ2006

Shaded area = 1 - Un-shaded area
S. area = 1 - (1/2 + 1/7)
S. area = 1 - (7+2) /14
S. area = 1 - 9/14
S. area = 5/14

So, your final answer is 5/14

Hope this helps!

Answer:

\(5/14\)

Step-by-step explanation:

Let

x-----> the shaded area

we know that

\(x+\frac{1}{7}=\frac{1}{2}\)

solve for x

Multiply by \(14\) both sides

\(14x+2=7\)

\(14x=7-2\)

\(14x=5\)

Divide by \(14\) both sides

\(x=5/14\) ----> fraction irreducible