well, we can simply divide 10 and 1/2 by 7, that's how many "yards" time 7 goes into 10 and 1/2.
[tex]\bf \cfrac{\quad10\frac{1}{2} \quad }{7}\implies \cfrac{\quad \frac{10\cdot 2+1}{2}\quad }{\frac{7}{1}}\implies \cfrac{\quad \frac{21}{2}\quad }{\frac{7}{1}}\implies \cfrac{21}{2}\cdot \cfrac{1}{7}\implies \cfrac{3}{2}\cdot \cfrac{1}{1}
\\\\\\
\cfrac{3}{2}\implies \stackrel{yards}{1\frac{1}{2}}[/tex]