Question

At the foootball game 8 1/5 of the fans wore team T-shirts.Of those wearing team T-shirts,1/4 also wore team hats.Wgat fraction of the fans at the football game wore both a team T-shirts and team hat?

Answer 1

The fraction of the fans at the football game that wore both a team T-shirts and team hat is
`2(1)/(20)`

Explanation:

Let

x----> total fans

we know that

`8(1)/(5)x` ----> wore team T-shirts

Convert to an improper fraction

`8(1)/(5)x=8(8*5+1)/(5)=(41)/(5)x`

Multiply by 1/4

`(41)/(5)x*(1)/(4)=(41)/(20)x`

convert to mixed number

`(41)/(20)x=(40)/(20)+(1)/(20)=2(1)/(20)x`

therefore

The fraction of the fans at the football game that wore both a team T-shirts and team hat is
`2(1)/(20)`