Question

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

Answer 1

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