Question

The bleachers at the football game are 7/8 full, and 1/2 the fans in the bleachers are rooting for the home team. What fraction of the bleachers are filled with the home team.

Answer 1

The fraction of the bleachers filled with the home team is
`(7)/(6)`

Solution:

Given that,

The bleachers at the football game are
`(7)/(8)`

In those bleachers
`(1)/(2)` 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}

=
`(7)/(6)`

The required fraction is
`(7)/(6)`