Question

What is a rational number between 1/6 and 1/12

Answer 1

$\hbox{between } \frac{1}{6}=\frac{2}{12} \hbox{ and } \frac{1}{12} \\ \\ \frac{2}{12}>\frac{x}{12}>\frac{1}{12} \\ 2>x>1 \\ \\ \hbox{x can be 1.01, 1.2, 1.55, etc.} \\ \hbox{the rational numbers are:} \\ \frac{1.01}{12}=\boxed{\frac{101}{1200}} \\ \frac{1.2}{12}=\frac{12}{120}=\boxed{\frac{1}{10}} \\ \frac{1.55}{12}=\frac{155}{1200}=\boxed{\frac{31}{240}} \\ \hbox{etc.}$