Question

A=2000/2001+2001/2002

B=2000+2001/2001+2002

Answer 1

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

vì \(\frac{2000}{2001}>\frac{2000}{2001+2002};\frac{2001}{2002}>\frac{2001}{2001+2002}\)

=>A>B

Answer 2

Ta có: B=2000/2001+2002+2001/2001+2002

vì: 2000/2001>2000/2001+2002

2001/2002>2001/2001+2002

nên 2000/2001+2001/2002>2000/2001+2002+2001/2001+2002

Vậy A>B