Which fraction is greater?

Algebra Level 2

$\large \color{#3D99F6}{\large{A=\frac{15^{16} +1}{15^{17} +1}} \quad {\color{#333333}{\text{or}}} \quad \color{#D61F06}{B=\frac{15^{15} +1}{15^{16} +1}}}$

Which is larger?