what fraction is between 0 and 1/2

[tex]Between\ 0\ and\ \frac{1}{2}\ are\ an\ infinite\ fractions:\\\\Examples:\\\frac{1}{3};\ \frac{1}{4};\ \frac{1}{5};\ \frac{1}{6};\ \frac{1}{7};\ \frac{1}{8};....;\frac{1}{100};....\frac{1}{1000};....\\\\\frac{1}{2}=\frac{1\cdot6}{2\cdot6}=\frac{6}{12}\to\frac{1}{12};\ \frac{2}{12};\ \frac{3}{12};\ \frac{4}{12};\ \frac{5}{12}\\\\\frac{1}{2}=\frac{1\cdot10}{2\cdot10}=\frac{10}{20}\to\frac{1}{20};\ \frac{2}{20};\ \frac{3}{20};...;\frac{9}{20}\\\vdots[/tex]