In order to subtract the fractions, they need to have the same denominator.
So, to put the fractions in the same denominator, let's find the least common multiple between them:
[tex]\begin{gathered} 16\to2\cdot2\cdot2\cdot2 \\ 8\to2\cdot2\cdot2 \\ \\ \text{LCM}\to2\cdot2\cdot2\cdot2=16 \end{gathered}[/tex]So, calculating the subtraction, we have:
[tex]\frac{13}{16}-\frac{3}{8}=\frac{13}{16}-\frac{6}{16}=\frac{7}{16}[/tex]So the resulting fraction is 7/16.