Three groups of students are sharing leftover pizza (all the same size originally). In which group does each student get the most pizza? Explain your choice.
A. Six students equally share 3/4 of a pizza
B. Three students equally share 1/3 of a pizza
C. Four students equally share 2/3 of a pizza
1/3
how do u know though
To find out which group of students gets the most pizza, we need to compare the amount of pizza each group is receiving.
A. In group A, there are six students who equally share 3/4 of a pizza. To find out how much pizza each student gets, we divide 3/4 by 6: (3/4) ÷ 6 = (3/4) × (1/6) = 1/8. Each student in group A gets 1/8 of a pizza.
B. In group B, there are three students who equally share 1/3 of a pizza. To find out how much pizza each student gets, we divide 1/3 by 3: (1/3) ÷ 3 = (1/3) × (1/3) = 1/9. Each student in group B gets 1/9 of a pizza.
C. In group C, there are four students who equally share 2/3 of a pizza. To find out how much pizza each student gets, we divide 2/3 by 4: (2/3) ÷ 4 = (2/3) × (1/4) = 1/6. Each student in group C gets 1/6 of a pizza.
Comparing the fractions, we can see that group A receives the most pizza. Each student in group A gets 1/8 of a pizza, while the other groups receive smaller portions.
To determine which group of students gets the most pizza per student, we need to compare the fractions of pizza each group receives.
Let's analyze each group:
A. Six students equally share 3/4 of a pizza:
To find the amount of pizza per student, we divide the total pizza (3/4) by the number of students (6):
(3/4) ÷ 6 = (3/4) × (1/6) = 3/24 = 1/8
Therefore, each student in Group A gets 1/8 of the pizza.
B. Three students equally share 1/3 of a pizza:
Using the same process, let's calculate the amount of pizza per student:
(1/3) ÷ 3 = (1/3) × (1/3) = 1/9
Each student in Group B receives 1/9 of the pizza.
C. Four students equally share 2/3 of a pizza:
Again, dividing the pizza by the number of students gives us:
(2/3) ÷ 4 = (2/3) × (1/4) = 2/12 = 1/6
Each student in Group C gets 1/6 of the pizza.
Now let's compare the fractions:
1/8 (Group A) > 1/9 (Group B) > 1/6 (Group C)
Therefore, each student in Group A receives the most pizza compared to the other groups.