Question

So sánh: \(\dfrac{2016}{2017}\) và \(\dfrac{2017}{2018}\)

Answer 1

Ta có: \(\dfrac{2016}{2017}=1-\dfrac{1}{2017}\)

\(\dfrac{2017}{2018}=1-\dfrac{1}{2018}\)

Vì \(\dfrac{1}{2017}>\dfrac{1}{2018}\) => \(\dfrac{2016}{2017}< \dfrac{2017}{2018}\)

Answer 2

\(\left\{{}\begin{matrix}1-\dfrac{2016}{2017}=\dfrac{1}{2017}\\1-\dfrac{2017}{2018}=\dfrac{1}{2018}\end{matrix}\right.\)

\(\dfrac{1}{2017}>\dfrac{1}{2018}\Leftrightarrow\dfrac{2016}{2017}< \dfrac{2017}{2018}\)