\(A=\dfrac{13^{15}+1}{13^{16}+1}\)
\(\Leftrightarrow13A=\dfrac{13^{16}+13}{13^{16}+1}=1+\dfrac{12}{13^{16}+1}\)
\(B=\dfrac{13^{16}+1}{13^{17}+1}\)
\(\Leftrightarrow13B=\dfrac{13^{17}+13}{13^{17}+1}=1+\dfrac{12}{13^{17}+1}\)
mà \(13^{16}+1< 13^{17}+1\)
nên A>B