\(\dfrac{31}{41}< \dfrac{313}{413}\)
Vì: 31. 413< 41. 313
ta có: So sánh tích chéo:
31.413=12083
313.41=12833
Vì 12083<12833
\(\Leftrightarrow\dfrac{31}{41}< \dfrac{313}{413}\)
So sánh phần bù...
Giải:
Ta có: \(\frac{31}{41}+\frac{10}{41}=1\)
\(\frac{313}{413}+\frac{100}{413}=1\)
Lại có: \(\frac{10}{41}=\frac{100}{410}>\frac{100}{413}\)
\(\Rightarrow\frac{31}{41}< \frac{313}{413}\)
Vậy: \(\frac{31}{41}< \frac{313}{413}\)