The following chart shows the fraction of students who enjoy baseball, basketball, football, soccer, and swimming in the 7th grade.
Baseball - 2/3
Basketball- 4/5
Football- 3/10
Soccer-5/6
Swimming-1/8
What fraction of students enjoys basketball and soccer?
I think you're missing something. Obviously, some students enjoy more than one sport.
But if some students enjoy than one sport how does that go to do with anything? Can you please help me I really need help?
Your problem states that 4/5 enjoy basketball, and 5/6 enjoy soccer.
4/5 + 5/6 = 24/30 + 25/30 = 49/30 = 1 19/30
That's way more than the total number of students.
To find the fraction of students who enjoy basketball and soccer, we need to determine the common fraction between the two sports.
Given:
Basketball: 4/5
Soccer: 5/6
To find the common fraction, we need to find the least common denominator (LCD) between 5 and 6, which is 30.
Basketball: (4/5) x (6/6) = 24/30
Soccer: (5/6) x (5/5) = 25/30
Now that we have the fractions with the same denominator, we can add them together:
Basketball + Soccer: 24/30 + 25/30 = 49/30
However, fractions cannot have a numerator greater than the denominator. So, we need to rewrite the fraction as a mixed number:
49/30 = 1 and 19/30
Therefore, the fraction of students who enjoy basketball and soccer is 1 and 19/30.