So sánh :
\(\dfrac{-267}{268}\) và \(\dfrac{-1347}{1343}\)
BCNN ( 268 ; 1343 ) = 268 . 1343 = 359924
\(\Rightarrow\) Mẫu chung = 359924
\(\dfrac{-267}{359924}\) . 1343 = \(\dfrac{-358581}{359924}\)
\(\dfrac{-1347}{359924}\) . 268 = \(\dfrac{-360996}{359924}\)
\(\dfrac{-358581}{359924}\) > \(\dfrac{-360996}{359924}\) \(\Leftrightarrow\) \(\dfrac{-267}{268}\) > \(\dfrac{-1347}{1343}\)
Ta có: \(\dfrac{267}{-268}=\dfrac{-267}{268}\)
Ta thấy: \(\dfrac{-267}{268}>-1\)
\(\dfrac{-1347}{1343}< -1\)
\(\Rightarrow\dfrac{-1347}{1343}< -1< \dfrac{-267}{268}\)
Vậy \(\dfrac{-267}{268}>\dfrac{-1347}{1343}\)
Ta có:
\(\dfrac{267}{268}< 1\) và \(\dfrac{1347}{1343}>1\)
nên \(\dfrac{267}{268}< \dfrac{1347}{1343}\)
Suy ra \(\dfrac{267}{-268}>\dfrac{-1347}{1343}\)
\(\dfrac{267}{-268}\) > \(\dfrac{-1347}{1343}\)