Toán So sánh A=2020/2021 + 2021/2022 B=2020+2021/2021+2022 26/07/2021 By Savannah So sánh A=2020/2021 + 2021/2022 B=2020+2021/2021+2022
`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` Trả lời
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` 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`