Mẫu số chung : \(24\)
\(\dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ \dfrac{5}{6}=\dfrac{5.4}{6.4}=\dfrac{20}{24}\\ \dfrac{3}{4}=\dfrac{3.6}{4.6}=\dfrac{18}{24}\\ 16< 18< 20=>\dfrac{2}{3};\dfrac{3}{4};\dfrac{5}{6}\)
Ta có:
\(\dfrac{2}{3}\) = \(\dfrac{2x4}{3x4}\) = \(\dfrac{8}{12}\)
\(\dfrac{5}{6}\) = \(\dfrac{5x2}{6x2}\) = \(\dfrac{10}{12}\)
\(\dfrac{3}{4}\) = \(\dfrac{3x3}{4x3}\) = \(\dfrac{9}{12}\)
Vì: 8/12 < 9/12 < 10/12
nên 2/3 < 3/4 < 5/6