Question

Giải thích vì sao các phân số sau đây bằng nhau : 

a, \(\frac{-22}{55}\)\(\frac{-22}{55}=\frac{-26}{65}\)

b, \(\frac{114}{122}=\frac{5757}{6161}\)

 

Answer 1

a)Ta có \(\hept{\begin{cases}\frac{-22}{55}=\frac{-22:11}{55:11}=\frac{-2}{3}\\\frac{-26}{65}=\frac{-26:13}{65:13}=\frac{-2}{3}\end{cases}}\)=> \(\frac{-22}{55}=\frac{-26}{65}\)

b) Ta có : \(\hept{\begin{cases}\frac{114}{122}=\frac{114:2}{112:2}=\frac{57}{61}\\\frac{5757}{6161}=\frac{5757:101}{6161:101}=\frac{57}{61}\end{cases}\Rightarrow\frac{114}{122}=\frac{5757}{6161}}\)