Question

so sánh

A= \(\dfrac{2016+2017}{2017+2018}\)và B=\(\dfrac{2016}{2017}+\dfrac{2017}{2018}\)

b) M=\(\dfrac{2017+2018}{2016+2017}\)và N=\(\dfrac{2017}{2016}+\dfrac{2018}{2017}\)

Answer 1

a, Ta có: \(\dfrac{2016}{2017+2018}< \dfrac{2016}{2017}\)

\(\dfrac{2017}{2017+2018}< \dfrac{2017}{2018}\)

\(\Rightarrow A=\dfrac{2016+2017}{2017+2018}< B=\dfrac{2016}{2017}+\dfrac{2017}{2018}\)

Vậy A < B

b, Ta có: \(\dfrac{2017}{2016+2017}< \dfrac{2017}{2016}\)

\(\dfrac{2018}{2016+2017}< \dfrac{2018}{2017}\)

\(\Rightarrow M=\dfrac{2017+2018}{2016+2017}< N=\dfrac{2017}{2016}+\dfrac{2018}{2017}\)

Vậy M < N