Question

so sanh 

\(\frac{2016+2017}{2017+2018}\) va \(\frac{2016}{2017}\)+  \(\frac{2017}{2018}\)

Answer 1

ta xét \(\frac{2016}{2017}+\frac{2017}{2018}=\frac{2016.2018}{2017.2018}+\frac{2017.2017}{2017.2018}\)

\(=\frac{2016.2018+2017.2017}{2017.2018}\)

Ta thấy \(2016+2017< 2016.2018+2017.2017\)

và \(2017+2018< 2017.2018\)

\(\Rightarrow\frac{2016+2017}{2017+2017}< \frac{2016}{2017}+\frac{2017}{2018}\)

Answer 2

lấy 2016+2017/2017+2018-2016/2017+2017/2018=0.(9)==>2016+2017/2017+2018>2016/2017+2017/2018

Answer 3

hai phân số này bằng nhau