Tham khảo:

a 

oki

a, \(\frac{15}{106}\)và \(\frac{21}{133}\)

          Ta có:

\(\frac{15}{106}< \frac{15}{100}=\frac{3}{20}=\frac{21}{140}< \frac{21}{133}\)

\(\Rightarrow\frac{15}{106}< \frac{21}{133}\)

             Vậy ........

b, \(\frac{31}{100}\)và \(\frac{89}{150}\)

       Ta có:

\(\frac{31}{100}< \frac{31}{93}=\frac{1}{3}=\frac{50}{150}< \frac{89}{150}\)

\(\Rightarrow\frac{31}{100}< \frac{89}{150}\)

        Vậy........

c, \(\frac{2020}{2019}\)và \(\frac{2021}{2020}\)

           Ta có:

\(\frac{2020}{2019}-1=\frac{1}{2019}\)     ;

\(\frac{2021}{2020}-1=\frac{1}{2020}\)

    Vì \(\frac{1}{2019}>\frac{1}{2020}\)

               \(\Rightarrow\frac{2020}{2019}-1>\frac{2021}{2020}-1\)  

              \(\Rightarrow\frac{2020}{2019}>\frac{2021}{2020}\)

 Vậy .........

d, n+2019/n+2021 và n+2020/n+2022

Câu d bn tự lm nhé

Cảm ơn bạn nhiều lắm! THANK YOU VERY MUCH!!!!!!!!!

\(\dfrac{-11}{-32}>\dfrac{16}{49}\)

\(\dfrac{-2020}{-2021}>\dfrac{-2021}{2022}\)

giải thích giúp mik dc ko ạ 

Có: \(\dfrac{2019}{2021}=1-\dfrac{2}{2021}\)

       \(\dfrac{2020}{2022}=1-\dfrac{2}{2022}\)

Mà \(\dfrac{2}{2021}>\dfrac{2}{2022}\Rightarrow1-\dfrac{2}{2021}< 1-\dfrac{2}{2022}\Rightarrow\dfrac{2019}{2021}< \dfrac{2020}{2022}\)

cảm ơn nhá

\(\dfrac{2021}{2022}=\dfrac{2020}{2021}\)

\(\dfrac{2021}{2022}\) và \(\dfrac{2020}{2021}\)

\(\dfrac{2021}{2022}=1-\dfrac{1}{2022}\)

\(\dfrac{2020}{2021}=1-\dfrac{1}{2021}\)

\(\text{Vì }\)\(\dfrac{1}{2022}>\dfrac{1}{2021}=>1-\dfrac{1}{2022}>1-\dfrac{1}{2021}=>\dfrac{2021}{2022}>\dfrac{2020}{2021}\)

a) Ta có:

Suy ra: 

Do đó .

Lại có .

Vậy A < B.

<

<

Có: \(2022>2020\)

\(\Rightarrow\dfrac{1}{2022}< \dfrac{1}{2020}\)

\(\Rightarrow\dfrac{2021}{2022}< \dfrac{2021}{2020}\)