Ta có : \(\frac{a+201}{b+201}=\frac{a}{b+201}+\frac{201}{b+201}\)
Ta thấy: \(\frac{a}{b}>\frac{a}{b+201}\)
=> \(\frac{a}{b+201}+\frac{201}{b+201}< \frac{a}{b}\)
Vậy : \(\frac{a}{b}>\frac{a+201}{b+201}\)
\(\frac{a+201}{b+201}=\frac{a}{b}\)
Mà : \(\frac{a}{b}=\frac{a}{b}\)
Vậy : \(\frac{a+201}{b+201}=\frac{a}{b}\)