Question

So sánh hai phân số A=10^2022+1/10^2023+1;B=10^2021+1/10^2022+1

Answer 1

\(10A=\dfrac{10^{2023}+10}{10^{2023}+1}=1+\dfrac{9}{10^{2023}+1}\)

\(10B=\dfrac{10^{2022}+10}{10^{2022}+1}=1+\dfrac{9}{10^{2022}+1}\)

mà 10^2023+1>10^2022+1

nên A<B