\(\frac{12}{16}\)= \(\frac{12:4}{16:4}\)\(\frac{3}{4}\); \(\frac{20}{24}\)=\(\frac{20:4}{24:4}\)\(\frac{5}{6}\); \(\frac{16}{20}\)=\(\frac{16:4}{20:4}\)=\(\frac{4}{5}\)
Quy đồng :\(\frac{3}{4}\), \(\frac{5}{6}\)và \(\frac{4}{5}\) ( MC = 60 )
\(\frac{3}{4}\)= \(\frac{3x15}{4x15}\)=\(\frac{45}{60}\); \(\frac{5}{6}\)=\(\frac{5x10}{6x10}\)=\(\frac{50}{60}\); \(\frac{4}{5}\)=\(\frac{4x12}{5x12}\)=\(\frac{48}{60}\)
Có 45 < 48 < 50 nên \(\frac{45}{60}\)< \(\frac{48}{60}\)< \(\frac{50}{60}\)
Vậy \(\frac{12}{16}\)< \(\frac{20}{24}\)< \(\frac{16}{20}\)
\(\frac{12}{16}=\frac{3}{4}=\frac{45}{60}\)
\(\frac{20}{24}=\frac{5}{6}=\frac{50}{60}\)
\(\frac{16}{20}=\frac{4}{5}=\frac{48}{60}\)
\(45< 48< 50\Rightarrow\frac{45}{60}< \frac{48}{60}< \frac{50}{60}\Rightarrow\frac{12}{16}< \frac{20}{24}< \frac{16}{20}\)