Answer:
The fraction of the bleachers filled with the home team is [tex]\frac{7}{6}[/tex]
Solution:
Given that,
The bleachers at the football game are [tex]\frac{7}{8}[/tex]
In those bleachers [tex]\frac{1}{2}[/tex] of the fans are rooting for the home team
So, the fans that are filled with the home team is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)
Hence, the required fraction is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)
Removing the brackets we get,
\frac{7 \times 1}{8 \times 2}
=[tex]\frac{7}{6}[/tex]
The required fraction is [tex]\frac{7}{6}[/tex]