\(\frac{20^{101}-1}{20^{102}-1}>\frac{20^{101}-20}{20^{102}-20}=\frac{20.\left(20^{100}-1\right)}{20.\left(20^{101}-1\right)}=\frac{20^{100}-1}{20^{101}-1}\)
\(\Rightarrow\frac{20^{101}-1}{20^{102}-1}>\frac{20^{100}-1}{20^{101}-1}\)
Cảm ơn sherlockichi Kazukosho. Thank you very much.