jmc

Plugging $x$ in for every answer choice would give $\text{(A)}\frac{6}{7}\text{(B)}\frac{6}{8}\text{(C)}\frac{6}{6}\text{(D)}\frac{7}{6}\text{(E)}\frac{8}{6}$ From here, we can see that the smallest is answer choice $\boxed{\frac{6}{x+1}}$