$\frac{14}{6}$ и $\frac{24}{9}$
$\frac{14}{6} = \frac{14 : 2}{6 : 2} = \frac{7}{3}$
$\frac{24}{9} = \frac{24 : 3}{9 : 3} = \frac{8}{3}$
$\frac{7}{3} < \frac{8}{3}$, значит:
$\frac{14}{6} < \frac{24}{9}$

$\frac{12}{20}$ и $\frac{9}{15}$
$\frac{12}{20} = \frac{12 : 4}{20 : 4} = \frac{3}{5}$
$\frac{9}{15} = \frac{9 : 3}{15 : 3} = \frac{3}{5}$
$\frac{3}{5} = \frac{3}{5}$, значит:
$\frac{12}{20} = \frac{9}{15}$

$\frac{25}{100}$ и $\frac{6}{8}$
$\frac{25}{100} = \frac{25 : 25}{100 : 25} = \frac{1}{4}$
$\frac{6}{8} = \frac{6 : 2}{8 : 2} = \frac{3}{4}$
$\frac{1}{4} < \frac{3}{4}$, значит:
$\frac{25}{100} < \frac{6}{8}$

$\frac{12}{24}$ и $\frac{8}{16}$
$\frac{12}{24} = \frac{12 : 12}{24 : 12} = \frac{1}{2}$
$\frac{8}{16} = \frac{8 : 8}{16 : 8} = \frac{1}{2}$
$\frac{1}{2} = \frac{1}{2}$, значит:
$\frac{12}{24} = \frac{8}{16}$