${\displaystyle \frac{3}{5}}<{\displaystyle \frac{4}{5}}<{\displaystyle \frac{7}{5}}$

${\displaystyle \frac{7}{5}}$ $<$ ${\displaystyle \frac{7}{3}}$

Der Bruch ${\displaystyle \frac{9}{2}}$ ergibt erweitert : ${\displaystyle \frac{27}{6}}$ Also gilt: ${\displaystyle \frac{7}{6}}$ $<$ ${\displaystyle \frac{27}{6}}$

${\displaystyle \frac{23}{9}}$ $<$ ${\displaystyle \frac{23}{8}}$ $<$ ${\displaystyle \frac{23}{5}}$

Der Bruch ${\displaystyle \frac{2}{3}}$ ergibt erweitert: ${\displaystyle \frac{8}{12}}$

Also gilt: ${\displaystyle \frac{5}{12}}$ $<$ ${\displaystyle \frac{8}{12}}$