Question

Cho A=\(\frac{2014}{2015}+\frac{2015}{2016}\)

B=\(\frac{2014+2015}{2016+2015}\)

Answer 1

Ta có: 2014/2015>2014/(2015+2016)

2015/2016>2015/(2015+2016)

=>2014/2015+2015/2016>2014/(2015+2016)+2015/(2015+2016)

hay 2014/2015+2015/2016>(2014+2015)/(2015+2016)

hay A>B

Vậy A>B

Answer 2

Đề là j vậy bạn?

Answer 3

de kieu j

sem lai di

Answer 4

Ta có : \(B=\frac{2014+2015}{2016+2015}=\frac{2014}{2016+2015}+\frac{2015}{2016+2015}\) 

           \(A=\frac{2014}{2015}+\frac{2015}{2016}\) 

=> \(\frac{2014}{2015}+\frac{2015}{2016}>\frac{2014}{2016+2015}+\frac{2015}{2016+2015}\) vì 2015;2016<2016+2015 

=> A>B