Which fraction is greater?

Algebra Level 2

A=1516+11517+1orB=1515+11516+1\large \color{blue}{\large{A=\frac{15^{16} +1}{15^{17} +1}} \quad {\color{black}{\text{or}}} \quad \color{red}{B=\frac{15^{15} +1}{15^{16} +1}}}

Which is larger?

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