yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Fraction division in context


2m read
·Nov 10, 2024

We're told that a group of three friends is practicing for the track meet. The group is going to run one half of a mile total. If they each run the same distance, how far will each person run? Which expression could represent the situation?

So pause this video and try to figure this out on your own.

All right, the way I think about it is there's some distance that they're going to try to travel. So, in this case, it's half of a mile, and they're going to divide that distance amongst the three friends.

The distance that each of them is going to run is the total distance divided by the number of folks that are running. So, an expression that represents this is one half, the total distance they are running, divided by the number of people who are going to split that distance divided by three.

And so, that is choice C right over here. Now, it might have confused you a little because you're not used to dividing a smaller number, especially a fraction, by a larger number. But that's exactly what's going on over here. You're taking the total distance, and it's being split amongst three friends. So, the total distance divided by three friends will tell you how far each of them has to run.

Let's do another example.

So here we are actually, they're telling us that there's some problem that can be solved with one half divided by seven. They say, which problem can we solve with one half divided by seven? Then they give us three different scenarios that we could try to solve.

So pause this video and think of which of these three scenarios can be solved with this expression.

All right, let's go through each of the choices.

Cara ordered seven pizzas for her birthday party. Her parents ate one half of a pizza before the party. How much pizza is left for the party?

All right, so what's going on here? She started with seven pizzas. She starts with seven. Her parents ate one half of a pizza, so one half of a pizza is taken away. That would tell you how much is left, so this is definitely the expression you would solve to figure out. Not this expression up here, so I would rule this out.

Walt has seven hamsters. Each hamster weighs one half of a kilogram. What is the total weight of the hamsters?

Well, to figure out the total weight, you would start with the number of hamsters and you would multiply that by the weight of each hamster. So that would be seven times one half, so we could rule that one out.

So it's likely going to be C, but let's figure this, let’s make sure it makes sense.

Janae has one half kilogram of trail mix. She splits her trail mix evenly between seven friends. How much trail mix will each friend get?

All right, she has a total amount, one half of a kilogram, and she's going to divide that total amount. She splits her trail mix evenly amongst seven friends to get a certain amount per friend.

How much trail mix will each friend get? And that's exactly what that expression up there is. So, I am liking this choice.

More Articles

View All
Introduction to frames of reference
I’d like to do in this video is talk about the notion of a frame of reference, and this is an introductory video. In future videos, we’ll go into a lot more depth. But a frame of reference is really the idea; it’s a point of view from which you are measu…
Freedom of Choice - Mind Field (Ep 5)
[pleasant music] - [sniffing] Ah, nothing like bacon and eggs in the morning. It’s a hearty meal that holds you together for the whole day. It’s a combination so obvious that it’s been around for as long as both foods existed. Humans naturally loved these…
Daily Eccentric Habits of Kevin O’Leary
[Music] Everybody asking all the time, how do you keep everything moving forward when you’re traveling all over the place? This is a good example. I’m out in California here at the Sony lot, shooting season 11 of Shark Tank. Now, this is pretty industrio…
How can an atheist call Hitler evil?
Andrew made a video, uh, in which he asks the question to atheists, was Hitler evil? Um, I think the gist of his question is the idea—uh, the idea behind it is that, uh, because atheists don’t have a universal sense of right and wrong, can they condemn Hi…
Threats to the U.S system and what we need to do
Would you agree with this? We have the greatest system of government ever since the beginning of time. The Constitution and the Bill of Rights have a lot of safeguards built in. As Churchill said, when it comes down to it, we try everything else, but we e…
15 Ways to Get Mentally Stronger
Did you know that mentally tougher athletes consistently outperform their mentally weaker counterparts? A recent study has shown that roughly 80 percent of mentally tough athletes tend to achieve more or perform better. Now, it goes without saying that be…