So sánh A=2020/2021 + 2021/2022 B=2020+2021/2021+2022

2 câu trả lời

`B= (2020+2021)/(2021+2022)`

`⇒B= 2020/(2021+2022) + 2021/(2021+2022)`

`mà : 2020/2021>2020/(2021+2022)`

`2021/2022>2021/(2021+2022)`

`⇒ 2020/2021 + 2021/2022 > 2020/(2021+2022) + 2021/(2021+2022)`

`⇒ 2020/2021 + 2021/2022>(2020+2021)/(2021+2022)`

`⇒ A>B`

Đáp án + Giải thích các bước giải:

`A=2020/2021+2021/2022>2020/2022+2021/2022=(2020+2021)/(2022)>(2020+2021)/(2021+2022)=B`

Vậy `A>B`