Answer :
[tex]5n+\frac{1}{8}=\frac{1}{2}\\\\5n=\frac{4}{8}-\frac{1}{8}\\\\5n=\frac{3}{8}\ \ \ \ \ \ |:5\\\\n=\frac{3}{8}\cdot\frac{1}{5}\\\\n=\frac{3}{40}\\\\Answer\ is\ \frac{3}{40}.[/tex]
[tex]5n^{(8}+\frac{1}{8}=\frac{1}{2}^{(4} \\\\ 40n+1=4 \\\\ 40n=4-1 \\\\ 40n=3\\\\ \boxed{n=\frac{3}{40}}[/tex]