Respuesta :
Answer:
The fraction of the adult fans is [tex]\frac{2}{3}[/tex] and the fraction of the children fans is [tex]\frac{1}{3}.[/tex]
Step-by-step explanation:
Given:
In the bleachers at the basketball game,1/4 if the fans are adult men,and 5/12 are adult women.
Now, to find the fraction of adult fans and the fraction of children fans.
Fraction of fans who are adult men = [tex]\frac{1}{4}[/tex]
Fraction of fans who are adult women = [tex]\frac{5}{12}[/tex]
So, to get the fraction of adult fans add fraction of fans who are adult men and fraction of fans who are adult women:
[tex]\frac{1}{4} +\frac{5}{12}[/tex]
[tex]=\frac{3\times 1+5\times 1}{12}[/tex]
[tex]=\frac{3+5}{12}[/tex]
[tex]=\frac{8}{12}[/tex]
On simplifying:
[tex]=\frac{2}{3}[/tex]
The fraction of adult fans = [tex]\frac{2}{3}.[/tex]
Now, to get the fraction of children fans:
Assuming the whole fraction be 1.
We subtract the fraction of adult fans from 1:
[tex]1-\frac{2}{3}[/tex]
[tex]=\frac{3-2}{3}[/tex]
[tex]=\frac{1}{3} .[/tex]
The fraction of children fans = [tex]\frac{1}{3}.[/tex]
Therefore, the fraction of the adult fans is [tex]\frac{2}{3}[/tex] and the fraction of the children fans is [tex]\frac{1}{3}.[/tex]
