Brenda and her family were driving to her grandmother’s house during a holiday. During the drive, Brenda fell asleep halfway through the trip. When she awoke, her family still had to travel half the distance that she had traveled while she was sleeping. For what fraction of the entire trip had Brenda been asleep?
Read the question carefully, the answer is in the question itself.
1/2 I think.
To find out the fraction of the entire trip Brenda had been asleep, we need to compare the distance she traveled while she was asleep to the total distance of the trip.
Let's assume the total distance of the trip is represented by the number 1 (or 1 whole). Since Brenda had already traveled half the distance before falling asleep, we can represent this distance as 1/2.
When Brenda woke up, her family still had to travel half the distance that she had traveled while she was asleep. Therefore, the remaining distance her family needs to cover is also 1/2.
To find out the fraction of the entire trip Brenda had been asleep, we can set up a proportion:
(Brenda's distance traveled while asleep) / (Total distance of the trip) = (Remaining distance her family needs to cover) / (Total distance of the trip)
Let x represent Brenda's distance traveled while asleep. So, x/1 = 1/2.
To solve for x, we can cross multiply:
x = 1 * 1/2
x = 1/2
Therefore, Brenda had traveled 1/2 of the entire trip while she was asleep.
So, the fraction of the entire trip that Brenda had been asleep is 1/2.