AMC 10A 2018 Problem 1

What is the value of

\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1 ?

Answer Choices
A. \dfrac{5}{8}
B. \dfrac{11}{7}
C. \dfrac{8}{5}
D. \dfrac{18}{11}
E. \dfrac{15}{8}