What part of the school population likes basketball,baseball,or football? How much larger is this then the part of the student population that prefers soccer?
Football 3/12
Basketball 4/12
Soccer 3/12
Baseball 2/2
Answer:1/2?
Simplify the fraction if possible
the first part is just 3/12 + 4/12 + 2/2
= 3/12 + 4/12 + 12/12= 19/12 of the school.
The second part is 19/12 - 3/12 = 16/12
So my answer is wrong?
Both your answer and Sam's are wrong.
Assuming that 2/12 (not 2/2) likes baseball --
What part of the school population likes basketball,baseball,or football?
9/12 = 3/4
How much larger is this then the part of the student population that prefers soccer?
3/12 = 1/4
It's three times as large.
To find the part of the school population that likes basketball, baseball, or football, you need to add the fractions representing the likings of each sport.
Football is represented by the fraction 3/12, basketball by 4/12, and baseball by 2/12. To add these fractions together, you simply add the numerators (the numbers on top) to get a total numerator, and keep the denominator (the number on the bottom) the same.
So, 3/12 + 4/12 + 2/12 = (3 + 4 + 2)/12 = 9/12.
Now, to find the part of the student population that prefers soccer, you simply need to subtract this fraction from 1 (since 1 represents the whole student population).
1 - 9/12 = 12/12 - 9/12 = 3/12.
To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 3 in this case.
3/12 รท 3/3 = 1/4.
Therefore, the part of the school population that likes basketball, baseball, or football is 9/12, and it is 3/12 larger than the part that prefers soccer, which is equivalent to 1/4.