FRAÇÃO E PORCENTAGEM \Prof. Gis/

People, when you went for a walk in the mall, for example, or in a store and saw that giant window saying fifty percent discount or twenty percent discount, you knew that it is related to the promotion and when we see these promotions in the mall, we remember math because we are calculating percentages, come on? So welcome to another class on the Gis channel, take the opportunity to subscribe to the channel if you are not yet subscribed and leave a thumbs up and let's study percentage, it is very important for you to know percentage because the day you go For example, making a purchase at the mall will get a discount, so you already know how many percent it is, so you don't need to take out the calculator and do it, you know, mentally make sure you understand what the percentage is, right, even if, for example, Your father said, if you don't study you're going to lose so many percent of your allowance, so you already know how much you're going to lose too, right, but you won't lose because you're going to study, right? So let's go guys.

When I talk about fractions and percentages, first why fraction? Because, look, this fraction here is 10/100, which means 10 hundredths. Did you watch the class where I explained decimal fractions?

Go back and watch this class too, it's very important for you to remember this concept, okay? So what does this fraction 10 hundredths mean, which is 10/100? It means that my whole was divided into 100 parts and I took 10 parts for myself, right, I took it for myself or something like that, but I considered 10 parts for myself out of a total of 100, so every time you see a fraction like denominator 100 you will remember in percentage because look at the name here, percentage by centage, you can take this little piece here of the word by cen which means it was divided into 100 parts, right and the symbol that represents the percentage as you may have already seen, right?

In store windows and such, it is this symbol here, %, which represents the percentage that we love this symbol here, to make a purchase, right, which then gets a discount. So it means that 10 hundredths is the same thing as the percentage of 10% so when I want to do this percentage representation I will always write the number here, the same number that is here I write here and this denominator which was 100 I represent he uses this symbol which is the percentage that you already know, if you see this symbol it means that the whole was divided into 100 parts, by 100 then 10% Ok? Look at this other one here, 9 hundredths means what percentage is 9%, how was it divided into 100, is nine percent, which is nine, I took nine out of a total divided into 100, okay?

And this other one here this other one here means 15 per 100, it's not divided into 100 parts so it's 15%, these representations that I put here are called percentages, this symbol here % is the percentage, right, remember well for 100, ok, Don't forget, and I'm going to write here how it is read because you're going to forget, right? So here I read ten percent, here I have nine percent and here I have a reading of fifteen percent, ok guys, you must be imagining it like that, ok If you have already studied the percentage, you must remember, but Gis, this fraction here 10 per hundred 10 hundredths, I can find a fraction equivalent to it, right, so if you write, for example, ten percent, it is the same thing, so you can find a fraction equivalent to it, simplifying this fraction I can simplify by dividing by 10 here and dividing by 10 here and here I will find that it is 1 because 10 / 10 is 1 and 100 / 10 is 10. So this means that the fraction one tenth is equivalent to the fraction 10 hundredths right and this fraction a tenth is also representing 10%, but Gis you didn't say that it is when divided by 100, but notice carefully that I made an equivalent fraction, and something else, think about what a tenth is?

It's not like when I took a part of a total divided into 10 I took a part so I took ten percent, is that ok? so pay close attention. Sometimes you have fractions in your exercises, they won't have a denominator of 100 because they were simplified, I found a fraction equivalent to it and you can also work with percentages.

show you more examples. Let's go? Guys, look at these cases that I brought here, I have to show you the possibilities, right, because if I just say, oh, it's easy, people, it's 25 over 100, it's 25 percent and so on, then you get to your exercise and there's a fraction simplified and you're going to talk more, Gis said it was just about 100, but you have to know this part about simplified fractions well.

Go back to Gis's class and I explained about simplification about equivalent fractions so you can do well here, okay? So look, you looked here at 25 hundredths, what does that mean? it means that I took 25 parts of a total divided into 100.

So it's easy, right people, this is 25 percent, isn't it? 25 of a total divided and 100, o by 100. This one here is 50, 50 hundredths means it is 50 of a total of 100 so it is 50 percent and this one here 75 hundredths means it is the 75 percent representation, so far that's all OK, okay, just look at the number, the denominator 100 represents the representation, but here guys, now I want to highlight 25% for you, let's do it one by one so you understand well, 25% is a fraction, I can simplify it, right, I can simplify it.

this fraction here is 25, simplify people, but you attended the simplification class, right, simplifying means finding the number that divides the numerator and the denominator at the same time, so if I simplify this fraction 25 / 25 are one and 100 / 25 are 4. So look closely at this notation, the fraction 25 hundredths that we saw here is easy, it can also be written as 1/4 and I know that 1/4 is a part of a total of four, so for example, oh I'm going to make a drawing for you here, look guys, what a crooked circle I made. This representation here has four parts, doesn't it and I went there and I only took one part, oh one part, so that means I took 25 percent because I know it came from this fraction of 25 over 100, and see something else, the total here, my the total here doesn't have to be 100% because when I work with percentages, my entire total, the total of the cake slices, total pizza, is always percent if I divide this pizza of mine, which was one hundred percent, into four parts 100 divided by 4 is 25 percent.

So this means that each of these parts of the pizza is representing 25%. This is the representation that I want to show you this difference, so if you look at the exercise and there is the fraction 1/4, you already know that 1/4 is the representation of 25/100 Okay? In the same way when I take 50/100, which is fifty percent and fifty percent is half because if there is a percent it is the total, half is 50 so fifty percent is half of something .

It's like I took this pizza and ate both pieces, I ate half of it, okay. And here we're going to do the same thing so you understand well and leave Gis's class here with a percentage to crush the activities, okay guys. 50/100 which is 50 hundredths is a fraction that can be simplified by 50 oh, oh Gis it's very easy here to simplify 50 by 50 is 1 and 100 by 50 is 2 oh the equivalent fraction here which gave 1/2 is half Oh why one of two, doesn't it mean I ate half.

So this representation here is 50%, okay? Do you want me to do it here? If you take the pizza, let's draw another pizza, what a wonderful pizza.

Look , this one is better guys, I'm going to divide it into two parts, right? And this last one, you must already know, right? 75/100 means a fraction 75 hundredths I can simplify and now by how much can I simplify 75 and 100 by 25 very well, I can simplify by 25 which will be 75 divided into 25 is three and 100 / 25 is four and now guys, three quarters Look at my pizza here, I'm going to draw another one so I'm practicing drawing here, I'm going to divide it into four parts because my total here is four and I took three, I ate it one two and three right, what do we know when I divide a pizza into four I know that each piece corresponds to 25 percent.

If here I have three pieces it would be 25 25 25, 25 plus 25 That's 50 plus 25 That's 75. So that means that these three pieces together are representing 75%, okay, I'm specifically showing these three cases here for you because these three cases are The most common ones to appear in activities are a quarter which you will know is already 25%, a half which is 50 percent and 3/4 which is 75%, okay guys? I would like you to understand this very well so that you can excel in your activities and be sure to attend the class where I will explain how to calculate the percentage of a certain value, for example I went to the mall to buy a game for my video game, I won a twenty percent discount, so what's twenty percent of the value of my game, so don't forget to watch another class and I'll explain in detail how to calculate this, agreed, folks, and take the opportunity to subscribe to the channel so you can receive notification of the next videos I publish and leave your thumbs up for Gis, and share this video here with your colleagues so they can learn how to represent percentages.

And I'll see you in the next class, bye. . .