[tex]\displaystyle\\
\frac{1}{4} = \frac{22}{88} \ \textless \ {\bf\frac{22}{71} }\ \textless \ \frac{22}{66}= \frac{1}{3}\\\\\\
\frac{1}{7} = \frac{10}{70} \ \textless \ {\bf\frac{10}{69} }\ \textless \ \frac{10}{60}= \frac{1}{6}\\\\\\
\Longrightarrow~~ {\bf\frac{10}{69} } \ \textless \ \frac{1}{6} \ \textless \ \frac{1}{4}\ \textless \ {\bf\frac{22}{71} }\\\\\\
\Longrightarrow~~\boxed{\bf \frac{10}{69}\ \textless \ \frac{22}{71} }
[/tex]