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 !!!
ta có: \(\frac{10+11}{11+12}=\frac{10}{11+12}+\frac{11}{11+12}\)
mà \(\frac{10}{11}>\frac{10}{11+12}\)
\(\frac{11}{12}>\frac{11}{11+12}\)
\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10}{11+12}+\frac{11}{11+12}\)
\(\Rightarrow\frac{10}{11}+\frac{11}{12}>\frac{10+11}{11+12}\)
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
\(\frac{10+11}{11+12}=\frac{10+11}{23}=\frac{10}{23}+\frac{11}{23}\)
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
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
