Ta có: \(\frac{77}{76}=\frac{76+1}{76}=\frac{76}{76}+\frac{1}{76}=1+\frac{1}{76}\)
\(\frac{84}{83}=\frac{83+1}{83}=\frac{83}{83}+\frac{1}{83}=1+\frac{1}{83}\)
Vì \(\frac{1}{83}< \frac{1}{76}\Rightarrow1+\frac{1}{83}< 1+\frac{1}{76}\Rightarrow\frac{84}{83}< \frac{77}{76}\)