\(\dfrac{25}{26}=\dfrac{25\cdot1010}{26\cdot1010}=\dfrac{25250}{26260}\)
Áp dụng khi \(\dfrac{a}{b}< 1\) thì \(\dfrac{a+m}{b+m}>\dfrac{a}{b}\left(m\in N^{\circledast}\right)\)
\(\dfrac{25}{26}=\dfrac{25250}{26260}< \dfrac{25250+1}{26260+1}=\dfrac{25251}{26261}\)
Vậy \(\dfrac{25}{26}< \dfrac{25251}{26261}\)
Ta có : \(\dfrac{25}{26}=\dfrac{25.101}{16.101}=\dfrac{2525}{2626}=\dfrac{25250}{26260}\)
Áp dụng công thức :
\(\dfrac{a}{b}< 1\) và \(m\in\) N, \(m\ne0\), nên
\(\dfrac{a}{b}< \dfrac{a+m}{b+m}\)
\(\Rightarrow\dfrac{25}{26}=\dfrac{25250}{26260}< \dfrac{25250+1}{26260+1}=\dfrac{25251}{26261}\)
Vậy \(\dfrac{25}{26}< \dfrac{25251}{26261}\)
~ Học tốt ~
