Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
A.
1/6
B.
1/4
C.
3/4
D.
3/8
The Correct Answer and Explanation is:
To determine what portion of the burger each of the other two friends received, follow these steps:
- Calculate the Portion Eaten by the First Friend: The first friend eats a quarter of the burger. This is represented as:14\frac{1}{4}41
- Determine the Remaining Portion of the Burger: Since the burger is divided into 4 quarters, and one quarter is already eaten, the remaining portion of the burger is:1−14=44−14=341 – \frac{1}{4} = \frac{4}{4} – \frac{1}{4} = \frac{3}{4}1−41=44−41=43
- Divide the Remaining Portion Among the Other Two Friends: The remaining 34\frac{3}{4}43 of the burger needs to be shared equally between the two remaining friends. To find out how much each friend gets, divide 34\frac{3}{4}43 by 2:Each friend’s share=34÷2=34×12=38\text{Each friend’s share} = \frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}Each friend’s share=43÷2=43×21=83
Thus, each of the other two friends receives 38\frac{3}{8}83 of the burger.
Explanation:
To solve the problem, start by calculating the total amount of the burger left after the first friend eats their portion. The first friend eats 14\frac{1}{4}41, leaving 34\frac{3}{4}43 of the burger. This remaining portion is then divided equally between the two remaining friends. To find each friend’s share, you perform the division of the remaining portion by 2, which simplifies to multiplying 34\frac{3}{4}43 by 12\frac{1}{2}21. This results in 38\frac{3}{8}83 for each friend.
The key concept here is dividing a fraction of a whole and then further dividing the remaining fraction among multiple people. By following these calculations, you ensure an accurate distribution of the burger among all three friends.
Correct Answer: D. 38\frac{3}{8}83