Question

Answer 1

\(A=\dfrac{212121}{202020}=\dfrac{212121:10101}{202020:10101}=\dfrac{21}{20}\\ A-1=\dfrac{21}{20}-1=\dfrac{1}{20}\\ B-1=\dfrac{22}{21}-1=\dfrac{1}{21}\\ \dfrac{1}{20}>\dfrac{1}{21}\Rightarrow A-1>B-1\\ \Rightarrow A>B\)

Answer 2

\(A=\dfrac{21.10101}{20.10101}=\dfrac{21}{20}>\dfrac{21+1}{20+1}=\dfrac{22}{21}\)

\(\Rightarrow A>B\)