Answer:
The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]
Step-by-step explanation:
Let
x----> total fans
we know that
[tex]8\frac{1}{5}x[/tex] ----> wore team T-shirts
Convert to an improper fraction
[tex]8\frac{1}{5}x=8\frac{8*5+1}{5}=\frac{41}{5}x[/tex]
Multiply by 1/4
[tex]\frac{41}{5}x*\frac{1}{4}=\frac{41}{20}x[/tex]
convert to mixed number
[tex]\frac{41}{20}x=\frac{40}{20}+\frac{1}{20}=2\frac{1}{20}x[/tex]
therefore
The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]
