Ta có: A=\(\frac{10^{20}+1}{10^{21}+1}\)< 1 => \(\frac{10^{20}+1+9}{10^{21}+1+9}\)<1 => \(\frac{10^{20}+1+9}{10^{21}+1+9}\) = \(\frac{10^{20}+10}{10^{21}+10}\)=\(\frac{10.\left(10^{19}+1\right)}{10.\left(10^{20}+1\right)}\)=\(\frac{10^{19}+1}{10^{20}+1}\)=>B<A