Ta có: \(\frac{2}{9}=\frac{26}{117}=\frac{260}{1170}\)
Và \(\frac{3}{13}=\frac{27}{117}=\frac{270}{1170}\)
Mà \(\frac{260}{1170}< \frac{261}{1170}< \frac{262}{1170}< \frac{263}{1170}< \frac{264}{1170}< \frac{265}{1170}< \frac{270}{1170}\)
Hay \(\frac{260}{1170}< \frac{29}{130}< \frac{131}{585}< \frac{263}{1170}< \frac{44}{195}< \frac{53}{234}< \frac{270}{1170}\)
Vậy 5 phân số ở giữa \(\frac{2}{9}\)và \(\frac{3}{13}\)là: \(\frac{29}{130}\); \(\frac{131}{585}\); \(\frac{263}{1170}\); \(\frac{44}{195}\); \(\frac{53}{234}\)