Ta có : A=\(\frac{196}{197}\)+\(\frac{197}{198}\)>\(\frac{196}{198}+\frac{197}{198}\)
              \(\frac{196+197}{198}\)>B=\(\frac{197+197}{197+198}\)
Vậy A>B

Ta có:  B=\(\frac{196+197}{197+198}=\frac{196}{197+198}+\frac{197}{197+198}\)

Mà \(\frac{196}{197}>\frac{196}{197+198};\frac{197}{198}>\frac{197}{197+198}=>\frac{196}{197}+\frac{197}{198}>\frac{196}{197+198}+\frac{197}{197+198}\)

=> A>B

a>b nhé t

Ta có:

\(\frac{196}{197+198}<\frac{196}{197}\)

\(\frac{197}{197+198}<\frac{197}{198}\)

\(\Rightarrow\frac{196}{197+198}+\frac{197}{197+198}<\frac{196}{197}+\frac{197}{198}\left(1\right)\)

Mà \(B=\frac{196+197}{197+198}=\frac{196}{197+198}+\frac{197}{197+198}\left(2\right)\)

Từ ( 1 ) và ( 2 )

\(\Rightarrow B<\frac{196}{197}+\frac{197}{198}\)

\(\Rightarrow B

Gọi 196/197 là a/c, 197/198 la b/d

Có a/c+b/d=a+b/c+d( tính chất của dãy tỉ số bằng nhau)

\(A=\frac{196}{197}+\frac{197}{198}\)            \(B=\frac{196+197}{197+198}\)          

 \(A=\frac{196}{197}+\frac{197}{198}\)           \(B=\frac{196}{197+198}+\frac{197}{197+198}\)

Ta có: \(\frac{196}{197}>\frac{196}{197+198}\) vì \(197<197+198\)

         \(\frac{197}{198}>\frac{197}{197+198}\) vì \(198<197+198\)

\(\Rightarrow\)\(\frac{196}{197}+\frac{197}{198}\)  \(>\frac{196}{197+198}+\frac{197}{197+198}\)

\(\Leftrightarrow\)\(\frac{196}{197}+\frac{197}{198}\)\(>\)\(\frac{196+197}{197+198}\)

Vậy \(A>B\)

\(Do:\frac{196}{197}>\frac{196}{197+198}\)

         \(\frac{197}{198}>\frac{197}{197+198}\)

\(\Rightarrow\frac{196}{197}+\frac{197}{198}>\frac{196}{197+198}+\frac{197}{197+198}=\frac{196+197}{197+198}\)

Vậy : \(A>B\)

\(A>B\)

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\(A>\frac{196}{198}+\frac{197}{198}=\frac{196+197}{198}>\frac{196+197}{197+198}=B\)

=>A>B

vậy...

Có 196/197+198<196/197

     197/197+198<197/198

Mà B=196+197/197+198=196/197+198 +197/197+198

Suy ra A>B

         B<A

Ta có:

196/197+198 < 196/197

197/197+198 < 197/198

\(\Rightarrow\)196/197+198 + 197/197+198 <196/197 + 197/198 (1)

Mà B=196+197/197+198 = 196/197+198 + 197/197+198 (2)

Từ (1) và (2):

\(\Rightarrow\) B < 196/197 + 197/198

\(\Rightarrow\) B < A

Vậy trong hai số A và B, số A lớn hơn

Ta có:

\(\frac{196}{197}\)>\(\frac{196}{197+198}\)

\(\frac{197}{198}\)>\(\frac{197}{197+198}\)

=>\(\frac{196}{197}\)+\(\frac{197}{198}\)>\(\frac{196+197}{197+198}\)

=>A>B

     Vậy A > B

Sảy ra 3 trường hợp :

A > B

A < B

A = B

A>B nhé bạn

196+197/197+198=196/197+198   +   197/197+198

=>A>B

Ta có :

\(B=\frac{196+197}{197+198}=\frac{196}{197+198}+\frac{197}{197+198}\)

Mà \(\frac{196}{197}>\frac{196}{197+198}\)và \(\frac{197}{198}>\frac{197}{197+198}\)

\(\Leftrightarrow A>B\)

Ta có: \(B=\frac{196+197}{197+198}=\frac{196}{197+198}+\frac{197}{197+198}< \frac{196}{197}+\frac{197}{198}=A\)

=> A > B.