Question

so sánh 10/11+11/12 và 10+11/11+12

ai làm hộ mình với]

 

Answer 1

Ta có : 

\(\frac{10}{11}>\frac{10}{11+12};\frac{11}{12}>\frac{11}{11+12}\)

\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10}{11+12}+\frac{11}{11+12}\)

\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10+11}{11+12}\)

Vậy \(\frac{10}{11}+\frac{11}{12}>\frac{10+11}{11+12}\)

Chúc bạn học tốt !!! 

Answer 2

ta có: \(\frac{10+11}{11+12}=\frac{10}{11+12}+\frac{11}{11+12}\)

mà \(\frac{10}{11}>\frac{10}{11+12}\)

\(\frac{11}{12}>\frac{11}{11+12}\)

\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10}{11+12}+\frac{11}{11+12}\)

\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10+11}{11+12}\)

Answer 3

 Ta có :  10 + 11 / 11 + 12 = (10/11 + 12)     +      (11/ 11+ 12 )

        Vì 10/11 > 10/ 11 +12

             11/12 > 11/ 11 + 12

 =>    10/11+11/12 > 10+11/11+12

Answer 4

\(\frac{10+11}{11+12}=\frac{10+11}{23}=\frac{10}{23}+\frac{11}{23}\)

Vì   \(\frac{10}{11}>\frac{10}{23};\frac{11}{12}>\frac{11}{23}\)

\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10+11}{11+12}\)

Nếu đúng thì k cho mik nhé

Answer 5

Ta có :  10 + 11 / 11 + 12 = (10/11 + 12)     +      (11/ 11+ 12 )

        Vì 10/11 > 10/ 11 +12

             11/12 > 11/ 11 + 12

 =>    10/11+11/12 > 10+11/11+12