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
Conditions for inference for difference of means | AP Statistics | Khan Academy
A food scientist wants to estimate the difference between the mean weights of eggs classified as jumbo and large. They plan on taking a sample of each type of egg to construct a two-sample t-interval. Which of the following are conditions for this type of…
Differentiating power series | Series | AP Calculus BC | Khan Academy
So we’re told here that ( f(x) ) is equal to this infinite series, and we need to figure out what is the third derivative of ( f ) evaluated at ( x=0 ). And like always, pause this video and see if you can work it out on your own before we do it together.…
Startup Investor School Day 1 Live Stream
And the way the course is organized is there’s a lecture and then there’s a Q&A afterwards. So please hold your questions until the Q&A session at the end unless an instructor explicitly says they want questions during their talk. I will also take…
Surviving a Hippo Attack | Something Bit Me! | National Geographic
Deep beneath the surface of the Zambezi River in Zimbabwe, Africa, Kristen Yaldor is trapped in the jaws of a hippopotamus. As she struggles to free herself, the animal refuses to let go, ragdolling her back and forth. Hippos wouldn’t necessarily just dra…
Percent word problem examples
In a video game, Val scored 30 percent fewer points than Peta. Peta scored 1060 points. How many points did Val score? Pause this video and see if you can figure out how many points Val scored. All right, well now let’s do this together, and there’s a co…
Curvature formula, part 2
In the last video, I started to talk about the formula for curvature. Just to remind everyone of where we are, you imagine that you have some kind of curve in, let’s say, two-dimensional space, just for the sake of being simple. Let’s say this curve is pa…