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Problem Solving (PS) | If 1 + 1/(1+ 1/x) = 13/11, what is the value of x?

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[GMAT math practice question]

If\(1 + 1/(1+ \frac{1}{x}) = \frac{13}{11}\) , what is the value of\(x\) ?

\(A. \frac{1}{9}\)

\(B. \frac{2}{9}\)

\(C. \frac{1}{3}\)

\(D. \frac{4}{9}\)
\(E. \frac{5}{9}\)
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