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At West High School, 2/ 5 of the students play a sport. Of the students who play a sport, 1 /4 play football. What fraction of the students at West High School play football?
A.1/10
B.1/3
C.1/5
D.2/3

Answer :

A , because 2/5 × 1/4 = 2/20 = 1/10

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given : At West High School, 2/ 5 of the students play a sport.

           Of the students who play a sport, 1 /4 play football.

To Find:  What fraction of the students at West High School play football?

Solution:

Students play sports = [tex]\frac{2}{5}[/tex]

Of the students who play a sport,  [tex]\frac{1}{4}[/tex] play football.

Now the fraction of the students at West High School play football = [tex]\frac{1}{4} \times \frac{2}{5}[/tex]

                                                                                                                = [tex]\frac{1}{2} \times \frac{1}{5}[/tex]

                                                                                                                = [tex]\frac{1}{10}[/tex]

Thus Option A is correct.

Hence [tex]\frac{1}{10}[/tex] at West High School play football.

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