Question

SO SÁNH

A = \(\frac{2015}{2016}\)+ \(\frac{2016}{2017}\)

B = \(\frac{2015+2016}{2016+2017}\)

Answer 1

Ta có: 

\(B=\frac{2015+2016}{2016+2017}=\frac{2015}{2016+2017}+\frac{2016}{2016+2017}\)

vì: \(\frac{2015}{2016}>\frac{2015}{2016+2017}\)VÀ \(\frac{2016}{2017}>\frac{2016}{2016+2017}\)

\(\Rightarrow\)\(\frac{2015}{2016}+\frac{2016}{2017}>\frac{2015}{2016+2017}+\frac{2016}{2016+2017}\)

\(\Rightarrow\)\(\frac{2015}{2016}+\frac{2016}{2017}>\frac{2015+2016}{2016+2017}\)

\(\Rightarrow A>B\)

Vậy: \(A>B\)

Answer 2

\(A>B\)