The stands at the soccer field can hold 40 people. The stands are 3/4 filled. Of the people in the stands, 5/6 are home team fans. How many home team fans are at the game?

It is given in the question that the stands of the soccer field has the capacity to hold 40 people. Also it is given that the stands of the soccer field is 3/4 filled.

Then,

The number of people in the stands = 40 * (3/4)

= 30

So 30 people are in the stands of the soccer field.

Now among the people present in the stands of the soccer field, 5/6 are home fans and the rest are fans of the away team.

Then,

Number of home team fans = 30 * (5/6)

= 25

So there are 25 home team fans present in the stand of the soccer field.