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

Percent from fraction models


3m read
·Nov 11, 2024

So we're told the square below represents one whole. So, this entire square is a whole. Then they ask us, what percent is represented by the shaded area? So why don't you pause this video and see if you can figure that out?

So, let's see. The whole is divided into 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 equal sections, of which 1, 2, 3, 4, 5, 6, 7 are actually filled in. That's the shaded area.

So, one way to think about it is seven tenths are shaded in. But how do we express this fraction as a percent? They're asking for a percent. Well, remember, percent literally means per hundred. Cent has the same root as the word hundred; you see it in cents or century.

So, can we write this as per hundred instead of per ten? Well, seven per ten is the same thing as seventy per hundred or 70 percent. How did I go from 7 tenths to 70 over 100? Well, I just multiply both the numerator and the denominator by 10.

And once you do more and more percents, you'll get the hang of you say, "Oh, seven tenths, that's the same thing as 70 per 100," which is 70 percent.

Let's do another example. Here, we're told 100 percent is shown on the following tape diagram. So, just this amount right over here is 100, and then they ask us, what percent is represented by the entire tape diagram? So, by this entire thing right over here, pause this video and see if you can answer that.

Well, one way to think about a hundred percent: 100 is equivalent to a whole. And now we have three times as much of that for the entire tape diagram. So, you could view this as three wholes, or you could say that's a hundred percent. We have another hundred percent right over here, and then we have another 100 percent right over here.

So, the whole tape diagram, that would be 300 percent.

Let's do another example. This is strangely fun! All right? Okay. It says the large rectangle below represents one whole. All right, so this whole thing is one whole. What percentage is represented by the shaded area? So pause the video and see if you can figure that out again.

So, let's just express it as a fraction first. So, we have a total of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 squares. So, out of those 20 squares, we see that six of them are actually shaded in.

So, six twentieths. Can we write that as per hundred? Well, let's see. To go from twenty to a hundred, I multiply by five. And so, if I multiply the numerator by 5, I'll get the same value: 6 times 5 is 30.

So, 6 per 20 is the same thing as 30 per 100, which is also the same thing as 30 percent, which literally means per hundred. So, this is thirty percent.

Let's do one last example here. We are told each large rectangle below represents one whole. So, this is a whole, and then this whole thing right over here is another whole. What percentage is represented by the shaded area? Again, pause the video; see if you can answer that.

So, this one we have shaded in a whole. So, that is 100 percent. And then over here, we have shaded in one, two, three, four fifths of the whole.

So, four fifths, if I want to express it as per hundred, what would it be? Well, five times twenty is a hundred, so 4 times 20 is 80.

So, four-fifths or 80 hundredths is filled out here, or you could say 80 per 100, which is the same thing as 80 percent.

So, this right over here is 80 percent. So, what percent is represented by the shaded area? Well, we have a hundred percent, and then we have eighty percent, so we have one hundred and eighty percent.

It's more than a whole. If you have a percentage that is larger than a hundred percent, you're talking about something that is more than a whole. And then we see that we have a whole right over here, and then we have eighty percent more than that.

More Articles

View All
6 Stocks the Smart Money is Buying for 2024!
In this video, we’re going to reveal the six stocks that the world’s greatest investors are spending billions of dollars buying. According to Warren Buffet, the single best way to find great investment ideas is to follow the investment decisions of elite …
The world's first air taxi.
Behind me is the Joby Job. It is probably the leader where all the EV TOS are in the certification process, and they’re creating a lot of the new technologies from the ground up. This vehicle is going to be about 200 mph and going to have about 100-mile …
The Current State of the Stock Market (2021)
So that right there is Charlie Monkey. He’s essentially Warren Buffett’s right hand man. He is the vice chairman of Berkshire Hathaway. What we’re looking at right here is him giving a talk at the Daily Journal shareholders meeting, which happened a coupl…
Introduction to experiment design | Study design | AP Statistics | Khan Academy
So let’s say that I am a drug company and I’ve come up with a medicine that I think will help folks with diabetes. In particular, I think it will help reduce their hemoglobin A1c levels. For those of you who aren’t familiar with what hemoglobin A1c is, I …
Keizoku: A Japanese Philosophy to Stop Quitting Everything You Start
You know that feeling when you start something new, maybe it’s reading, working out, or learning a new skill, and you are super excited about it? You buy all the stuff, make all these plans, and then a few weeks later you just stop, and then the guilt set…
Directional derivative, formal definition
So I have written here the formal definition for the partial derivative of a two-variable function with respect to X. What I want to do is build up to the formal definition of the directional derivative of that same function in the direction of some vecto…