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

Example diving a unit fraction by a whole number


2m read
·Nov 11, 2024

So let's see if we can figure out what one-third divided by five is. And I'll give you a hint: try to draw out one-third of a whole and then divide it into five equal sections. Pause this video and try to do that.

All right, now let's try to work through it together. And to help us, as I promised or as I suggested, I guess we said, let's draw a third. So I will represent a whole by that square right over there.

Now let me split it up into three equal sections. So this is all hand drawn with the aid of a computer, so it's not going to be perfect. But let's say that that is three equal sections. It's roughly three equal sections. I didn't do it perfectly, but you hopefully get the idea.

And so one third would be one of those three equal sections. So that's a third right over there that I have just shaded in, and I want to divide it into five. Or I want to divide it by five, I should say. So let's do that.

To divide it by five, I'm going to divide it into five equal sections. If I'm doing, if I'm dividing that one into five equal sections, let me just divide all of the thirds into five equal sections. I'm essentially just going to make five rows here: one, and I'm going to eyeball it, so it's going to be approximate: two, three, and then four and five equal sections.

Notice I now split this whole into one, two, three, four, five rows of equal height. Now, if I go to my original third and divide it by five, I would be left with this right over here. But what fraction is this of the whole?

Well, what I've done now is I've split my whole into 15 equal sections. How do I know that? Well, I could count them: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15. Or you could just say, look, I had one, two, three thirds, and now each of those have been split into one, two, three, four, five equal sections.

So three times five is 15. So each of these is a fifteenth. And so the one-third divided by five is just one of those fifteenths. So that right over there is one of those fifteenths. So this is going to be equal to one fifteenth, and we are done.

More Articles

View All
Science Advances One Funeral at a Time
I had a bunch of the sides that I wanted to dive into, like finding path integrals, because it seems to me that there’s some kind of a deep symmetry between multiverse theory and feminine path integrals. You’re absolutely right; he believed in multiple h…
The People Who Were Turned Into Paint
There are four people in this painting. Three of them are made out of paint. The fourth is the paint. The interior of a kitchen was painted in 1815, and like many paintings from that time, one of the colors used in it was mummy Brown, a pigment literally…
15 Services That Will Never Go Out Of Business
According to the World Economic Forum Future of Jobs report, as many as 85 million jobs worldwide are expected to be replaced by artificial intelligence by 2025. Considering how fast this sector is evolving, it’s not far-fetched to say that this number is…
Story time: EXACTLY how I met my three mentors
I’m going to share the three people who have made the biggest impact on my life, who have been my mentors, exactly how I met them and how that happened. So let’s start here; we’re going to go old school. My first mentor I met when I was about 13 years ol…
LearnStorm Growth Mindset: Dave Paunesku on teacher modeling of growth mindset
Teachers can play a tremendously powerful role in creating a growth mindset culture, and there are a variety of different strategies and approaches they can use to do that. One way the teachers can powerfully role model growth mindset is to really have a…
Lecture 6 - Growth (Alex Schultz)
Thank you for oversold. Thank you, um, cool. So, you guys, uh, this is awesome! I’ve been watching the lectures in this course. Isn’t it absolutely amazing, the content? And now, you’re stuck with me today. We’ll see how that goes. Um, so, uh, unlike Paul…