Question

So sánh hai biểu thức A và B  biết:

  \(A=\frac{2000}{2001}+\frac{2001}{2002}\)        Và        \(B=\frac{2000+2001}{2001+2002}\)                 

   Giusp mik nhanh nhé!cần gấp!thanks mn

Answer 1

\(B=\frac{2000}{2001+2002}+\frac{2001}{2001+2002}\)

Ta thấy \(\frac{2000}{2001+2002}< \frac{2000}{2001}\)

             \(\frac{2001}{2001+2002}< \frac{2001}{2002}\)

\(\Rightarrow B< A\)

Answer 2

\(A=\frac{2000}{2001}+\frac{2001}{2002}\) VÀ\(B=\frac{2000+2001}{2001+2002}\)

\(\Leftrightarrow A=\frac{2000}{2001}+\frac{2001}{2002}=\frac{2000+20001}{2001+2002}\)   VÀ  \(B=\frac{2000+2001}{2001+2002}\)

\(\Rightarrow A=B\)

chắc mk làm sai

Answer 3

B = \(\frac{2000}{2001+2002}+\frac{2001}{2001+2002}\)

Ta có: \(\frac{2000}{2001}>\frac{2000}{2001+2002}\)

          \(\frac{2001}{2002}>\frac{2001}{2001+2002}\)

Cộng vế theo vế:

\(\frac{2000}{2001}+\frac{2001}{2002}>\frac{2000}{2001+2002}+\frac{2001}{2001+2002}=\frac{2000+2001}{2001+2002}\)

Hay A > B