Lời giải:
$\frac{37}{67}=1-\frac{30}{67}$
$\frac{377}{677}=1-\frac{300}{677}$
Mà $\frac{300}{677}< \frac{300}{670}=\frac{30}{67}$
$\Rightarrow 1-\frac{300}{677}>1-\frac{30}{67}$
Hay $\frac{377}{677}> \frac{37}{67}$
Ta có : \(\frac{37}{67}=\frac{370}{670}\)
Mà \(670>370\)
=> \(\frac{370}{670}< 1\)
=> \(\frac{370}{670}< \frac{7}{7}\)
Mà \(\frac{370}{670}=\frac{370}{670}\)
=> \(\frac{370}{670}< \frac{377}{677}\)
=> \(\frac{37}{67}< \frac{377}{677}\)
Vậy \(\frac{37}{67}< \frac{377}{677}\) .