Solve this:
(e)  Find the value of $1+\frac{1}{1+\frac{1}{6}}.$

Dear student,
Here is the solution of your asked query:
$$\begin{gathered} 1+\frac{1}{1+{\displaystyle \frac{1}{6}}} = 1+\frac{1}{{\displaystyle \frac{6+1}{6}}} \\ = 1+\frac{1}{{\displaystyle \frac{7}{6}}} \\ = 1+\frac{6}{7} \\ = \frac{7+6}{7} \\ = \frac{13}{7} = 1\frac{6}{7} \end{gathered}$$
Regards