Hi guys, welcome to another class on the Gis channel, and in this class you will learn how to compare fractions to check which is bigger or if they are equal. So if you have any questions about this content, come with me! So before starting the class I'm going to make those special requests for you: subscribe to my channel if you're not already subscribed, just click on the little star in the corner of the screen and leave a thumbs up if you like the class and understand the meaning.
my explanation, agreed? So, to compare fractions, I'm going to identify whether these fractions are equal or which of the two is greater, which is greater than the other, okay, that's how to make the comparison, okay. So it's very simple, look at this example that I brought here, the fraction 5/7 compared to the fraction 3/7, so let's imagine that I have a cake pan and I ate five pieces, okay, so I have a cake pan that was divided into 7 pieces and I ate 5 pieces from this pan and from this other pan which was also divided into 7 I ate 3 and in which of the two pans I ate the most it wasn't from this one because I ate five so that means this fraction is bigger than That's it, so the rule is very practical, you don't even need to think about how many pieces I ate of the cake, look like this, if the denominator is already equal to each other, the two are equal, you look at which is the biggest numerator and it will then make the fraction bigger and then to compare the fraction I have to remember that sign of inequality, ok, do you remember the sign of inequality or was it like this or was it like that in several classes I've seen explaining what it does, right, there are several strategies for thinking about who is bigger.
They say to cut the number and make it four and seven, right, if I put it here, it's seven, here it's four, okay, but I don't explain it that way, okay, people, I like to talk like that, let me delete it here, I like to talk like that and everyone understands, think in the alligator's mouth, yeah, it seems like a child's thing, but it's easier to think, the alligator will always open its mouth to the largest number, okay, so I don't know that this number here is bigger than, so the alligator opens its mouth to that one. , so this fraction five-sevenths is greater than three-sevenths, okay, so always think like that. Look at this other one now it also has the same denominator so easy easy just look who is the biggest numerator who is the biggest numerator 10 so where is the alligator going to open its mouth it is going to open its mouth for 10 ok so I know that the fraction 10/3 is greater than 7/3, okay?
Doing this alligator's mouth thing, always opening its mouth to the largest number, there's no mistake, you always get it right and now when the denominators are different, that's why I wrote here, the practical method, least common multiple, our mmc, well, so here, folks, it's a case I'm going to use an equivalent fraction, ok, in case you haven't attended the equivalent fraction class, I'll leave an indication and you can also find the link in the description, combined? So guys, I need to compare these two fractions, I need to leave their denominators the same here , okay, and how am I going to do that ? I'm going to do it through the practical process and if you haven't attended this class or have any questions and want to review this mmc content, I'll let you know too, ok?
So here the mmc I can divide by two below 5 and here it is four by two again which will be two and below 5, it is by two again which is one and below 5 and by five it will be one, and now for find what is the result of mmc which is the least common multiple I multiply everyone here 2 times 2= 4, 4 x 2= 8, 8 x 5 are 40 so that means that the common denominator of 5 and 8 is the number 40 because if you think about the multiplication table of 5 and the multiplication table of 8, the first number that is repeated is 40, right, except 0 people, so here it means that the new denominator will be 40, but then I need to apply that concept of equivalent fraction of 5 became 40, that means I multiplied it here by 8 so I multiply it here by 8 which will also be 16, yes, see how I applied the equivalent fraction process, from 8 to 40 it was times five so I do times five will be 20 now the denominators are equal I just have to look who is the biggest numerator what's the biggest numerator is 20 so alligator opens its mouth for 20 so 20/40 is bigger than 16/40, ok guys? Combined? Here I could also have simplified the fraction since you're asking, right?
For me, 4/8, I could have simplified it to a half, then I would take the mmc between 5 and 2, but the final result would be the same, okay, this fraction here, which is from This side was bigger than this one, right? And look at the last example 9/5 compared to 5/3 also the denominator is different so I need to find the mmc between three and five so you can do the mmc process if you don't remember because here there is a rule the two numbers here are prime so just multiply the two prime numbers and I'll find the result of mmc but look here so you remember well by three of 1 and below the five then it gives five which gives 1 and gives 1 multiply the two guys three and five 15 which it was the same thing as me multiplying directly here but if we are here to do the whole process and you understand it well then, look, the new denominator will be 15 then I will analyze from five to have it become 15 I multiplied by three so here I multiply 9 by 3 which gives 27, now here from three to 15 I went times five here it will be times five which gives 25, well now that the denominators are the same I look who is the biggest numerator, numerator 27 so alligator open your mouth to 27 so the fraction 27/15 is greater than 25/15 right guys so this was the explanation through the practical method which is the mmc okay now I'm going to do it another way that maybe you prefer, I don't know later you tell me , let's go? Guys, see that I brought here the same two previous examples with different denominators and we are going to do it using another method, okay, and now the method that students always prefer is to take and divide each fraction to find the corresponding decimal number.
then you can also compare , then, to find the decimal number corresponding to 2/5, I must divide the numerator by the denominator in that order, okay, if you want more explanations, but details about this content also look here in the indication that there is a class explanatory for you, then two by five will be 0. 4 because 4 x 5 are 20, so this means that this fraction corresponds to 0. 4.
4 tenths is good and four eighths, if you have already noticed, you can divide 0 here, it will give 5, 5 8= 40 which is half, right people, here four half of eight so 0. 5. So now, doing this process of performing the division to find the decimal number, I can also compare who has the largest decimal number .
fraction here is greater than 2/5 ok? So there will be another way, I don't know if you prefer this one here to divide or the one over there to do the mmc when the denominators are different, again the same one I mentioned earlier, let's do the division of 9 by 5 and after five by three is 9 / 5 gives once 1 x 5= 5 left 4 put a comma zero it will be eight times, 8 x5= 40, oh guys if you also want to see a class in which I explained all the details of why put a comma because put zero, why put 0 comma here that we do an automatic process, I have all the explanations in class that I will leave here for you. So this fraction 9/5 is the same thing as 1 integer and eight tenths and so let's see this one now gives 1 x 3= 3, 2 are left, 6, 6 x 3= 18, two are left, then add a 0, I know that here 666 will keep repeating itself, this number here is considered a periodic decimal, okay, so which fraction is larger which decimal is larger?
this one isn't it? So the fraction 9/5 is greater than 5/3, look at the alligator's mouth opening to the largest number, right people? And now an extra example that I didn't solve in the previous examples so let's do this process, I will also divide 12 by 7, 12 by 7 gives 1 x 7= 7 leaving 5.
0 will give 7, 7 x 7= 49 leaving 1 , oh with one decimal place you can already tell who is bigger, right, and now I'm going to divide eight by three, sometimes you don't even need to continue the count as you can already withdraw it, you know, 2 x 3 = 6, two are left, look what It's going to happen, it's going to give a tithe here, right? So I know, I don't even need to continue here, people, because 1. 7 here, two, if you want to continue, it's going to be bigger, I didn't even need to continue, right?
So the alligator is going to open his mouth for this fraction, so 8/3 is greater than 12/7, right guys, so this was our lesson today on comparing fractions, very important, so analyze the two methods of the mmc or the one to perform the division to find the decimal number, okay? See which one you prefer the most and if you liked the class, leave a thumbs up and subscribe to the Gis channel, oh guys, let's not forget, there's a list of exercises on my website, okay, www. giscomgiz.
com. br for the classes that I do, okay, then you can access the list, you practice because mathematics has to practice a lot, practice the exercises there and check your answers with the answer sheet, there is no point in copying the answer sheet, you have to practice to see if you did it right and check to see how that you are in mathematics and then you ace your exams, agreed guys? So until next class, bye.
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