[tex]1\ minue=\frac{1}{60}hour\\ 1\frac{1}{6}=\frac{7}{6}\\\\ \frac{7}{8}\ wall\ in\ \frac{7}{6}hours\\
x\ wall\ in\ \frac{1}{60}\\\\Proportion:\\
\frac{7}{8}\ - \frac{7}{6}\\
x-\ \frac{1}{60}\\\\cross\ multiplication\\\\
\frac{7}{8}*\frac{1}{60}=\frac{7}{6}x\\\\
\frac{7}{480}=\frac{7}{6}x\ \ \ | divide\ by\ \frac{7}{6}\\\\
\frac{7}{480}*\frac{6}{7}=x\\\\
x=\frac{6}{480}=\frac{1}{80}\\\\ In\ one\ minute\ Melinda\ will\ paint\ \frac{1}{80}\ of\ wall.[/tex]