At West High School, 25
of the students play a sport. Of the students who play a sport, 14
play football. What fraction of the students at West High School play football?
To find the fraction of students at West High School who play football, we need to divide the number of students who play football by the total number of students.
The number of students who play football is given as 14. The total number of students is not given in the question. As a result, we cannot determine a specific fraction.
If we are given the total number of students, we can divide 14 (number of students who play football) by that total number to find the fraction.
what is the fraction
Apologies for the confusion. To find the fraction of students at West High School who play football, we need to divide the number of students who play football by the total number of students.
Let's say the total number of students at West High School is x. Since 25% of the students play a sport, we can write this as (25/100)x or (1/4)x.
Of the students who play a sport, 14 play football. So we can write this as (14/25)*((1/4)x).
Therefore, the fraction of students at West High School who play football is (14/25)*((1/4)x) or (14/100)x or 14/100, which simplifies to 7/50.
So, the fraction of students at West High School who play football is 7/50.
simple form
Apologies for the confusion. Let's simplify the fraction 7/50.
To simplify a fraction, we can divide the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 7 and 50 is 1.
Dividing both the numerator and the denominator by 1 gives us:
7 ÷ 1 / 50 ÷ 1 = 7/50
Therefore, the simplified fraction of students at West High School who play football is 7/50.
no
Apologies once again. The fraction 7/50 is already in its simplest form. There are no common factors other than 1 that can be divided out from both the numerator and denominator.
Therefore, the fraction 7/50 is already in its simplest form.
that is not the right fraction
Apologies for the mistake. Let's recalculate.
Out of the students who play a sport, 14 play football. We know that 25% of the students play a sport, so if we let x represent the total number of students at West High School, then 25% of x is equal to the number of students who play a sport, which is also equal to 14.
Mathematically, we can write this as:
0.25 * x = 14
To solve for x, we divide both sides of the equation by 0.25:
x = 14 / 0.25
x = 56
So, the total number of students at West High School is 56.
Now, to find the fraction of students who play football, we divide the number of students who play football (14) by the total number of students (56):
Fraction of students who play football = 14 / 56
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 14:
14 ÷ 14 / 56 ÷ 14 = 1/4
Therefore, the fraction of students at West High School who play football is 1/4.