[tex]\displaystyle\\
1\frac{0,\!5}{7} = \frac{x}{2}~~~~~\text{Introducem intregii in fractie.}\\\\
\frac{1\cdot 7 +0,\!5}{7} = \frac{x}{2}\\\\
\frac{7,\!5}{7} = \frac{x}{2}\\\\
\frac{x}{2}=\frac{7,\!5}{7}~~~~~\Big| \cdot 2 \\\\
x = 2\cdot \frac{7,\!5}{7} = \frac{2\cdot 7,\!5}{7}= \boxed{\bf \frac{15}{7}}
=\boxed{\bf 2\frac{1}{7}}
[/tex]