\(A=\dfrac{196}{197}+\dfrac{197}{198}\)
\(B=\dfrac{196+197}{197+198}\)
\(Ta\) \(có\)
\(B=\dfrac{196+197}{197+198}=\dfrac{196}{197+198}+\dfrac{197}{197+198}\)
\(Ta\) \(thấy\)
\(\dfrac{196}{197+198}< \dfrac{196}{197}\)
\(\dfrac{197}{197+198}< \dfrac{197}{198}\)
\(=>\dfrac{196}{197+198}+\dfrac{197}{197+198}< \dfrac{196}{197}+\dfrac{197}{198}\)
\(=>\dfrac{196+197}{197+198}< \dfrac{196}{197}+\dfrac{197}{198}\)
\(=>B< A\)