Ta có :1-\(\dfrac{25}{26}=\dfrac{1}{26}=\dfrac{1010}{2626}\)
\(1-\dfrac{25251}{26261}=\dfrac{1010}{26261}\)
Do \(\dfrac{1010}{26261}< \dfrac{1010}{26260}\)nên \(\dfrac{25}{26}< \dfrac{25251}{26261}\)
ta có :
25/26 = 25x1010/26x1010 = 25250/26260
Vì 25250/26260 < 1 nên 25250/26260 <25250 +1 /26260 +1
hay 25250/26260 < 25251/26261
\(\dfrac{25}{26}\)=\(\dfrac{25\cdot10100}{26\cdot10100}\)=\(\dfrac{25250}{26260}\)
Ta có 1-\(\dfrac{25250}{26260}\)=\(\dfrac{1010}{26260}\);1-\(\dfrac{25251}{26261}\)=\(\dfrac{1010}{26261}\)
Vì 26260<26261 nên \(\dfrac{1010}{26260}\)>\(\dfrac{1010}{26261}\)
Vậy \(\dfrac{25}{26}\)>\(\dfrac{25251}{26261}\)