Asalamualaikum warahmatullahi wabarakatuh. So, this time we have entered the material of chapter 2, namely rational numbers. So, this is new material. Yesterday we finished chapter 1, which was about integers. Now let's move on to rational numbers. So, the question is what is a rational number? Okay, so before we know what the rational path is, let's discuss this first. Well, try to imagine there is a pizza box. Then you want to share the pizza equally with your friends . Well, there are three people you want to share with. Approximately how much will this circle be divided into ? Will he be divided by 4? Hmm. So it's divided into 3, yeah. There are three people, so it's divided into 3 equal parts . How do you make this part the same size? So, we'll divide it like this . Well, this one is still big, so we'll move it up a bit here. Okay, wait a minute. Well, okay, like this. It's already become the same amount. So this is the first person, second person, and third person. So he has one pizza, so how many pizzas does one person get approximately? one person means this, yes, only one means this one, for example, this part means how many parts does he get, namely he gets one of the total, how many parts are there, there are three. Three slices of pizza. So each person gets one, yes, one portion. Got one piece of a total of three slices of pizza. How many of them are there in total? How many slices of pizza are there? There are three of 3, right? Well, try if 3 / 3 = 1 right? Well, this is one pizza. But this is one pizza. But there are three parts. There is a first part, a second part, and a third part. Okay, how about this? Can you understand? Yeah, so these are the parts, yeah. So, the one above is usually the part that we take . The part that is taken and the one below is the total number of parts . So, the bottom part is usually kept the same because we want to know how much it is in total. So you put everything here. the above ee depends on what is asked like that. Okay, yeah. Well, if this is what is asked, for example, how many parts does each person get? So, each person gets one of the three in total. Okay, so here we go again. Have you ever learned about decimal fractions and percentages? I'm sure I have because this is the material on decimal fractions and percentages that has been studied in elementary school, right? Okay. Well, so now you can see on the left there is a pizza. How many parts is it divided into? 1 2 3 4 parts yeah. From one whole ball, cut it into four equal parts. So, what do you think the fractions will be like? If I just want to take it, how much is it? I'll just take one, okay? If there is only one, that means 1 out of 4 . This is the fraction. Fractions, yes. Now the question is, what do you do with the decimals? How do I make this into a decimal of 1/4? So there are two ways. The first way is you multiply it, I'll lengthen it, per one you multiply it, below this you multiply it, how do you want to find out, make the bottom one 10 or 100, sorry, 1,000 or 10,000, ma'am. Basically, the one at the back is 0, the one at the front is 1 . Approximately how many can these 4 be made into ? We'll look for B from 10, okay? Can it be 10/4? The answer is no, because then he will fall into a coma. He will be in a coma. So later ee 8 ya 2 kur. 2 2 / 4 will be a comma, meaning it's not 10, so what should we choose if it's 100 / 4? 10 / 4 = the closest number is 8. 4 * what is the result of 8, the result is 2, right? 4 * 2 = 8 if you subtract it, 0 goes down. 10 - 8 = 2 20 divided by 20 / 4 = what is the result? 5 20 is already finished 0. Well, that means this is what we take, right? How many times should 100 be multiplied to get the result 100 times 25? Because the number below is multiplied by 25, the number above must also be multiplied by 25. So what is the result? 25. Above 1 * 25/ 4 * 25 = we got 100. Now, let's turn it into a decimal. Okay, let's make it a decimal. What is the decimal? Well, this is 25. There are two numbers, right? Well, this too. So, what we see is how many are there below? 0. There are 20. That means you can write 25. Well, the zero is from here. From back here. Sorry. From behind here there are two numbers. That means you're two steps ahead 1 2. Well, that means the comma is here. Well, the comma is here. Since there is no number in front of it, you add 0. So, the decimal is 0.25, right? 0.25. Or this is the second way, you can do it directly like this 1/4 like that. Likewise, you can directly get 1/4, right? That means 1/4, but you can't get 1/4 automatically, you have to add 0, right? If you add 0, the top must be 0 comma. So, how much is below? How many times 4 times what is closest to 10? 4 * 4 * 2 is 8-ur 10 - 8 = 2 2 in 2 divided by 4 is not possible . So we have to add 0 behind it. How much is 20/4? 20 / 4 = 5, this is 20 less, so it becomes 0. So, we can immediately get this 10 divided by this 1, yes, this is 1 / 4 = what? 1 / 4 = I'll change it later, okay? Well, this is it, 1/4 = I changed the color so that you know what the starting number is. 1 / 4 = 0.25. The results are the same as this one. So it's up to you which method you want to use to find the ee from the fraction to the decimal like that. Okay, now if it's a percentage, now we want a percentage, right? Percent is per 100, meaning percent is something per 100. Well, something per 100. Well, we've got 25/100. That means, for example, if it's a percentage, I'll give it a name first, okay? This was the decimal point. Now percent. Percentage is something per 100, so we already get 25/100. This means we just take the top number 25% per 100, which means we have this percentage. Hmm. Okay, this is it. Please note this first, post it first then you note it down. Okay, if that's the case, we'll move on to the next slide. Well here it is. We will remember the types of numbers again, okay? So there are natural numbers, whole numbers, integers, and rational numbers. Yesterday we studied, we studied these three numbers . We have already studied these three numbers , natural, whole, and integer. So, what's the difference between original and chopped? Approximately, which one is the original or the number, which one is from one, which one is from zero? The one from one first. Which one is genuine or chopped? Okay. If you answer correctly. Correct. Natural numbers are from 1 2 3 4 5 6 and so on, until there are lots of them. Well, while the numbers are the same as the ones above, these natural numbers are the same. What's the difference? The difference is that there is an additional number in the previous one, namely from 0. That's the difference, the rest is the same. Then the integers. Well, integers are the same as whole numbers. But what's the difference? The difference is what's the addition? In addition, there are negative numbers too. So -1, -2, -3 and so on. Yes, so if this whole number, this whole number is a combination of a natural number and a whole number plus a negative number, that's how it is. So, this natural number is like a small one, it's narrow. This whole number is even bigger. This integer is even wider. Well, rational numbers are broader than whole numbers. Even wider. So, it's like a ruler, if you zoom in, there are commas. For example, like from 1 cent, for example, like this. This is centi, from 1 cent to 2 cm. There are like small dots here. For example, this is 1 2. Well, this is like 1.2 then mm 1.3 1.4, right? So, rational numbers have decimal places in the middle. So among these numbers there are rational numbers, there are fractions that are included in the rational numbers. For example, between 0 and 0 and 1, okay? What is between 0 and 1? Between 0 and 1 there is 0.1, yes. Then 0.2 0.3 to 0 point what? Come on. 0.9. If you zoom in again, between this and 0.1 and 0.2, there is another 0.11, right? 0.12 0.13 yeah. Not really, not even 0.19. If you want to zoom in again, there are more, there are so many that the number of commas is limitless. That's a rational number, right? So, what are rational numbers? Well, there are decimals, right? Then there are also percentages. Percentages also fall under rational numbers. Basically all numbers can be changed into A/B form. Come on, what is the name of this number A/B? If there is a role, it is called a fraction. So, all numbers that can be converted into fractional form are called rational numbers. Yes, that's it. So, all numbers that can be converted into fractional form are called rational numbers. So, for example, if 2 is possible, can 2 be changed into a fraction? Can. Can it be formed into 2/1 fractions? 2/1 fraction right. Then, what else? For example, if it's the same, for example 4/2, is the result still 2? Is not it? So how many more? 6/3. Well, this is this fraction, right? This fraction means 2 is a rational number. Oh, I see. So basically a rational number is any number that can be changed into a fraction, namely a/b. OK, you can post this and then you can note it down. Okay, that's it. Now we will continue . So this is the learning objective. So, hopefully after we watch this video, you will be able to identify what numbers are included in rational numbers, then how to apply fractions, and then determine equivalent fractions correctly. So, there's no need to write this down. This is the learning objective that doesn't need to be recorded. Well, here it is. Well, we will get to know rational numbers. So rational numbers are numbers that can be expressed in the form A/B. What is A/B? A/B is this what form? A/B this A/B this is a fraction form. It's a fraction with A being an integer, B being an integer too , like that. So don't make it a fraction but the top is not a whole number. For example, like 2.5 eh 2.3 per bottom is not a whole number either 5.7. Well, this is not a rational number. Rational numbers must be integers. Like for example 2/5. Well, both are integers, 5 is also an integer . So, don't let the top and bottom become commas, okay? Oh, I see. Well, then there is another condition below it or B, it cannot be equal to 0. If you open a calculator, for example, if there is a number 27, for example, whatever number you want, if it is divided by 0, it will definitely be invalid , invalid or undefined or non-existent, the result will not be there. Because for example, if you have 27 apples and want to share them with zero people, can you share those 27 apples like that? Can't do it, right? That's why it's not valid, right? That's it. Okay. So it can't be below zero. Well, now I've been talking about the top, this one is the bottom, the top. Well, actually there is a name for it, you know . There's a name for that one, what's the name of the one above? So there is such a thing as a denominator and a numerator. What do you think is the denominator? Which one is the numerator? If you say that the one above or this A is the denominator, you are wrong. The truth is that the top one is the numerator. Yes, so this is the numerator. below it is the denominator. So if it's a fraction, it's the numerator per denominator. Well, earlier we also learned that the numerator is the numerator, which is usually something that is taken away, right? per denominator means the total of items taken. The total of all the items, right? Total mm of goods. It's okay, it's something that can be used as a fraction, right? Basically the denominator is the total. For example, if the numerator is taken, how much is taken, so it's not all like that, right? Well, that's it. Well, okay. Now let's try, there is an example in the table on the right. Can we change the a/b? The first number is what is the a/b? We know that in the first column, A, all of B, all of B. So we just have to make a/b. This = 1/2 like that. Okay. Then this second one is -5. per 12. Well, the negative is still above. So, what does it look like? Later negative divided by positive equals negative or positive? Together with. So, if you write the same thing, don't do it here . Wrong. If you write the same as here, the same as must be written parallel to the other side. Well, so it's back to negative divided by positive and negative. So the negative must also be parallel to it and the spring is 5 12 like that. This is the correct way to write it like this. That's the correct way to write it . Okay. The correct way to write it is like this, not like this. This negative is still above. The negative must be parallel to the spring. Well, okay, let's go to number 3 again. This is 8/2. How much is 8/2? 8 / 2 per means it can also be divided, right? 8/2 = how much? 4. Okay, 4. Now it's -1/ 1,000. So how much is this? -1/1000. It's written like this. negative. The negative will be in front of the spring, not above the spring. Then this is number 5 again, 3/ -6. The negative has 6, so it's placed at the bottom. But now what is positive divided by negative? If the sign is different, is it negative or positive? Negative. So later he will write it negatively. Well, as usual, the negative is put in front of the spring. So don't write it below anymore. The sign has already been divided . So 3/6. So, if you shrink 3/6, how much can it become? How much should we share? Both are divided by 3. This is also divided by 3. So how much is that? So -1/2. Okay, now the bottom one again. -2 / -3 = how much? Yo, now negative for negative is equal to what? Negative for negative equals positive. Yes, if it's positive, is it written or not? No. Just go straight to 2/3, can it be reduced or not? Okay, if it can't be reduced, we can just write 2/3. That's it. Please note this as an example. Okay, please take note. Okay, now we will have an example of what a fraction is. Well, so let me give you an idea. So, this is very often the case in our daily lives, we share something with several people. Well, that happens often, right? Well, this is a simple example. Nina has 16 apples. Nina wants to share 3/8 of the portion with her younger sibling. So, how many apples will your little brother get? Well, I've made this apple cake. There are 16 apples, 4 8 12 16 apples. OK, so first I'll explain this first using picture illustrations. Well, this is going to be divided by 3/8. So, how many parts are there in total? The total, remember, the denominator is the total. Okay, I'm going to talk about numerators and denominators a lot. So, you have to remember that the numerator is on top, the denominator is on the bottom. So, the denominator is 8, right? The denominator is 8. This means that you divide 16 into 8 parts. Come on. So what is 16 if divided by 8? What is 16 divided by 8? Yes, the answer is 2. That's right. 16 / 8 is 2. So, one part is two apples each , right? Okay, I'll box it up . There is one part, two parts, then three parts, four parts, right? Well, then these five parts en part then this 7uh part and finally this 8 part. Well, there are eight parts here. For example, if I want to put these fruits in a plastic bag, there are eight plastic bags like that. So these 8 parts are the del, this is the total part that will be divided. So, now, how many of these 8 parts are for your little brother? From this plastic package, how many plastics are there for your little brother? That is three plastics. So, how many apples are in those three plastic bags? 1 2 3. Now, how many apples are there on the ones I ticked? There are 1 2 3 4 5 6. Well, in the six in three plastic bags there are six apples. So how many pieces did you get, little brother? The answer is there are 6 apples. Well, this is just an illustration, right? How about it, Ma'am, the quick way or the writing way? So, just how to write it. The way to write it is that you just multiply it . This is how to write it. 16 * 3/8 or something like that . So later you write the per part, don't write it like this 3/8, right? So the spring has to be parallel to the shaft, right? It has to be aligned like this, then it will be the same as here, aligned 38 like that. what is the result? Well, you can multiply this by 16 and then multiply it by 3. Multiplied by how much? 16 * 3. How much is 16 * 3? 16 consists of 10 and 6. Now multiply the 10 by 3 = 30. Now multiply the 6 by 3. 6 * 3 = 18. What is the total of these ? 48. So 16 * 3 is 48. What is 48/8? 48 / 8 = 6. What is 6? 6 apples, that's how it works. Okay, you can also do this later if you know it's too big. You can also do it like this. The way is you can divide it by 16 first, how much is that divided by 8? 16 / 8 cross out method, yes, this is 16 / 8 = 2. The remainder is 2 * 3. 2 * 3 = 6 or the same, the result is the same, depending on whether you like to use the cross out method or multiply first and then divide. Multiply first or divide or cross out immediately. Later he immediately got a smaller number. So the multiplication is easier. So, it's up to you which method you want to use. Well, this is A, yeah. How many apples did your little brother get? Then this one has another question. Question B. Question B is how many of Nina's apples are left? Well, we already know that for the younger sibling it is 3/8. 3/8 means there are 6, right? Earlier there were six apples for my little brother. The remaining apples are the ones that haven't been taken for my little sister or, in other words, it's Nina's apples that haven't been given. How many? Can you count how many of these there are? How much? That is 10 apples. 10 apples or simply put, we already know that there are 6, so just write it down, the total is 16, which means 16, so later we will write it like this: Nina's apples are equal to the total apples minus her sister's apples, right? The ones that are given are the ones that are given to her sister, right? So later just write down the total number of apples, right? 16 minus how many apples did your little brother give you? 6 16 - 6 = 10 apples. Well, this is how to write it. OK, you can pause then note this down. Okay, let's move on to question C now. Nina has 16 apples, Nina shares 38. Well, it's still the same. But question C is to express the remaining apples in fractions. Well, for example, if the younger sibling is 3/8. So, how much is the KK in denominations ? We know that for example, the total is 8 parts of 8, right? 8. If full, does that mean 8/8 or not ? If the full is 8/8 minus the fraction 3/8, what does that mean? For example, if it's like this, only the top number or only the numerator is subtracted. 8 - 3. So, how much is 8 - 3 per 8? 8 - 3 = 5/8. Well, this is the fraction for the older brother . The remaining apple is 5/8 part. So, how many pieces of apple are left? 5/8 part. Or how many apples were there? Or how many apples were there in total? that is 10 a 0 like that. Well, this is the conclusion , yeah. Please pause this first and then write it down. Okay. So later you will state that don't write this down again, don't. So just A what is the question, write ee the answer. Then what is B's answer to the question, then write the answer. Then this is C, it's a new question, then write the answer. So, the number one thing that the editors only need to write once at the beginning, okay? Okay, that's it. Well, please do this question number two. The method is the same as before but there is no need to draw it. No need to draw. You just have to do it using the writing method I told you about earlier . Okay, that's it. Good. Well, now please pause this for now . This is what is being done. Then I will discuss equivalent fractions. What does it mean to be worth it? Worth it means the same. That means, the fractions have the same value. Well, try this. Okay, try this, ee, try writing this, okay? How many parts are shaded here? The shaded one is the first one, right? I wrote this first, this one is the first. This is the second, this is the third. The fourth, the fifth. Okay. So, roughly how many parts are colored in the first one? There are two parts that are colored. Of what total? How many boxes are there in total ? There are 3. That means it's 2/3. So, how many parts is number two? How many? How many are colored? There are three in total, how many boxes are there? There are four. Correct. So, how many boxes are colored in number three ? There are 6. How many boxes are there in total? IL. Correct. Now, how many boxes are colored in these 4? There are 9 per how many boxes in total? There are 12. Now number 5. Number 5 is the one that is colored in, there are 4. How many boxes are there in total ? There is an en box there, yes. So, now which one has the same value? Well, we can see that the numbers above and below are all the same, but they are all different, right? This is 2 3 this is 3 4 6 9 12 4 and 6. Well, these numbers are all different but which ones have the same value . So if we want to see the same values, we can multiply or subtract or simplify the numbers. Well, let's try to see if 2/3 is the simplest way to divide it or not? The answer is no. Can't be shared. If the top is divided in two, the bottom must also be divided in two. So this is not possible. This also can't be done. Can this one be made smaller? If you scale it down, roughly what number does the top and bottom divide by ? Divide the number by 2 or 3 or 5 or what? Divided by 3. Okay, divided by 3, okay? So, if divided by 3, how much is it? 6 / 3 = 2. Okay. Well, this is already visible. Now, how much can we share number 4 with each other ? Approximately how much can 9 and 12 be divided equally? Yes, it can be divided by 3 . Both can be divided into 3. How much is 9/3? 3. 12 / 3 = 4. Okay. Well, now number 5 again. Can number 5 be made smaller? What can it be reduced to? How much should we share? Both can be divided by 2. If divided by 2, what is the result? 4 / 2 is 2. 6 / 2 = 3 means 2/3. Well, we can see. I'll give this a different color. I'll give you the same color. Well, there are 2/3. 2/3 of this has this, there is this, and there is this. Well, the ones I've boxed here have the same value, right? The value is the same. Take a look, guys. This is two parts of three. Well, this is also two parts. 1 2 of the total is 1 2 3. But why is this 6 and 9 different? Well, each section is divided into three parts. But all of them are divided into three parts, but when simplified, it turns out that it becomes 2/3. yes. Well, this is also the same. This is also the same. This shaded part is two of the three parts. Okay. But this part one part is divided into two parts, both are divided into two parts like that. So, are these 2 and 4 worth it? Is the answer worth it or not? Well, I guess the answer is yes. This is 3/4 both are 3/4 because of him. This means that from a total of 4, the total of these four is 1 2 3 4. There are three parts that are colored . This is also from these four, one part of this contains three. 1 2 3 4. Of the four parts, each of which contains three, three are colored . Oh, I see . So what is worth it? the equivalent is 1 and 5. Then what is the value of 2 ? With 4 like that, yeah. Like this. Well, please note this down neatly. Use a ruler. Use a neat ruler. Okay, that's it. Well, let's get to this. Well, there you have it. Well, we can see that the equivalent fractions are divided or multiplied and we can get the equivalent. Well, the question is, if for example it is subtracted , the question is, if for example it is added or subtracted by the same number, does it still have that value? Well, take a look, okay? Let's see first . This is 2/3, right? This is 2/3. 2/3 is made into this. How much is this? How much is this? 1 2 3 4 5 6/9. This is the same value, right? It's 2/3 for both. Okay. Here, this is worth it. Try dividing 6/9 by 3, the result is 2/3, right? So, for example, if 2/3 becomes 6/9, how many times should you multiply it? What was he divided into ? Times times yes. Multiply it by 3 on top too. If the top is multiplied by 3, the bottom must also be multiplied by 3. What is the same as? 6/9. Well, this is the same, right? So this is the same, right? That means he's worth that much. The question is, if we subtract 2/3 or add the same number, will it still be the same value? If you multiply and divide it, it will still be the same. The question is, if you add or subtract, will it still be the same value or not? Let's check it out, shall we? We will reduce the top and bottom first. Add the same number. I chose the number mm two so that it's not too difficult for you to understand. Let's try adding the top and bottom numbers together and adding the number 2. What is the result? 2 + 2 = 4 yes per 3 + 2 = 5. Is it worth 4/5 and 2/3? value or not? The answer is not worth that much. Why not worth it? This one is like a pizza, I think. This pizza is 2/3 which means one pizza is shared by 3 people. Divide it into 3, okay? Divide the pizza into 3. Well, the one that is 4/5 is one pizza, the total is 5, right? The expression is 5. That means this one pizza is divided into 5. Okay, hopefully it's the same, this is how I divided it. Well, that's it. Divided by 5. What do you think about the part? Is it the same? Is it different? Now let's try to give it 2/3 shading. This means that only 2 of them are shaded. 2 parts of 3/3 eh 2 parts of 3 yeah. Well, if it's 4/5, we shade 5. Eh, sorry, 4 parts out of a total of 5. Which one do you think is more? Mostly 2/3 or mostly 4/5? The question becomes more 4/5, right? So the numbers with the corresponding signs are like this or like this . The corresponding number is the corresponding sign is like this. So face it to the bigger one that is blowing it like this. So it turns out that 4/5 is bigger than 2/3. That means it's not worth it because the numbers are actually different if we draw them, or the size is different. So, for example, if it is added or subtracted, then subtracting is also different. Try 2/3 both for example both minus 1 1/2. Well, it's really big, isn't it? Try if 1/2 means one circle, you just divide it in two and you'll have more. There are even more. Is that true? More or less? Hmm. Yes. For example, um, for example, what? For example, if there are two on top, that's more, right? The 2/3 is more 2/3 than 1/2. I'm sorry. So this is ee more 2/3 than 1/2. Okay, for example, if you look at this, it's more like 2/3 than 1/2 . But if for example 1/3 and 1/2 is more, this 1/2 is what I meant earlier, 1/2 is more if the top is the same, that's it. Well, the point is, if you want to add or subtract numbers, even if the numbers remain the same, whether you add or subtract them, they are not equivalent. The answer is not the same value. Okay. Good. This may be noted please. I apologize if, for example, my words or answers are a bit strange because now it's 24 o'clock or 0.30 when I made this video at 0.30 in the morning. So, I'm sorry if for example it's a bit messy. Please, I hope this can be understood. Okay. Well, it's noted. We will continue again. There are fractions of equal value. I will give an example of A. You can do B. Simplify the following fractions. Well, this is supposed to be simplified, right? If you are told to simplify, it means you are told to reduce the numbers. So, how much can we divide this number by? How much can we share equally? It can be reduced to the smallest possible number . The number 2 can both be divided by the number 2. How much? 16 / 2 = 8/24 / 2 = 12. Now can we reduce it by 8 and 12 even further? The answer is yes. How much more is it divided into? It can be divided into two. If it's bigger, what number is it divided by? divided by the number 3. If it's 3, it can't be done. If you divide the number by 4, you get 4. How much is it now? Mm 8 / 4 = 2 / 12 / 4 = 3. So the simplest is 2/3. Yes, so actually, if you want to divide it directly by 2 * 4, what is it? 8 yes. This means that if you want to divide this directly by 8, you can also divide 24 directly by 8. Then the results will be like this directly. Or if you want it to be small, divide it in two first, then divide it in two again. It's also okay to divide it in two more . So the important thing is to get the smallest number that can no longer be reduced, that's simple in meaning. Okay, please note down A first, then try to do B. Please try to do it. If, for example, the result is 8/9, you are right. But what I want to emphasize is the method first. How do you divide it first so you can get this way of getting results. Please do it. Now we will go to number two, okay? Number two. We'll go to number two. Write down at least three equivalent fractions below. Which is worth it. The value is up to you. So you can enlarge it or reduce it . So what's the first one? The first one, yes, I wrote it like this. What do you want to do first? Do you want to multiply or share? If you want to make it smaller first, you can make it smaller first. Divided by 2. Divided by 2 equals what? 8 / 2 = 4. 72 / 2 = 36. Well, this is one. Just search again. Now search again. It's up to you whether you want to reduce this number or you can reduce this number using a different number. But if I choose this number, yes. So this is actually flexible, the important thing is that you get the right value. So, I'm going to choose this number and then I want to make the number smaller, that's okay. I want to make it smaller again. I want to share 2 more. What is the result? 4 / 2 = 2 / 36 / 2 = how much? 36 / 2 = 18. Well, we've got 2. Now let's look for it. This is supposed to be 3, right? Now it's up to you. I want to use the 2/18 one. I want to make this 2/18 bigger. Well, if you want to make it bigger, you can. But as long as the top and bottom numbers are divided using the same number, when multiplied they also use the same number. I want to do this again. Two have been used, right? If I want to do this twice, the result will be like this again. This is already here . So I want to use different numbers. I want to do it three times. Hmm. Or times 5 . I want to do it 5 times, okay? So the numbers are up to you. The important thing is that the numbers are the same at the top and bottom. 2 * 5 = 10. 18 * 5 = 90. Well, I've got another new number that's the same value. So, what are the equivalent numbers? You can write it here later, okay? Can you write what the results are later ? Because before, I wrote 8/72 comma, I wrote it next to per, right? Anything ? 4/36 2/18,10/90. Well, this is worth it. Okay, go ahead. Well, this is how to do it . The A one, yes. B also does the same thing. It's up to you whether you want to share first, divide or multiply. The important thing is that the numbers above and below are the same. Please find three fractions that are equivalent. So there are three ways you can make it like this. Please pause first before working on B. Okay, then we will work on the senior fractions. We will work on this last question, question number 3. Question number 3. Fill in the following boxes so that the two fractions become equivalent fractions. Remember earlier, for example, if we want to multiply to make equivalent fractions, if we multiply them by the same number, top and bottom. Oh, I see. Okay. If you want to divide it, the numbers must be the same. Now, I'll give you an example of A first. What is 3 times 36? 3 times what is 36? Come on. Or what is the result of 36/3? Well, that's the same number. 36 / 3 = 12, yes, 36 divided by 3 is 12, which means 3 to 36 is multiplied by 12, like that . Oh, I'll write it here later . I'll just write this on the side here . over here. So 3 to 36 is multiplied by 12. From 3 to 36, it is multiplied by 12. Since the bottom is multiplied by 12, how much should the top be multiplied by? Times 12. How much? 2 * 12. 2 * 12 is 24. So we can fill this box with the number 20. 4. Well, this is equivalent. This is already worth it . It's worth it, yeah. So 23/3 is equal to 24/36. Well, please do it like this for B too. Please try how to do it. Let's try it . Well, I'll also give you another example of C. The method for C is the same. The difference is that the box is at the bottom. So you're looking for it from above. 3 * what is 24? Come on. Oh, sorry. 4 times what is 24? That is 4 in * 4 * how much? Times 6. 4 * 6 is 24 . Well, that means you also have to multiply 5 by 6. 6. 5 * 6 = how much? 5 * 6 = 30. Well, this is already worth it. Please also do D. The method is the same. The method is the same. Please do it. Okay, thank God, this 53-second video is finished . Please study everything and note it down from beginning to end. Please do what I asked you to do . Then the next step, if you have completed all the questions and you have noted everything down, is to scan as usual. Then you upload it to Google Classroom. If you can't upload it to Google Classroom, please send me a PC WhatsApp . Okay, in PDF format, yes. Don't take photos one by one, they will be scattered and not in order if you take photos one by one. If for example you guys, what is it? If you send it to WhatsApp, please comment on Google Classroom in the assignment section. If you comment, I will send it to WhatsApp, okay, ma'am? That's it. So I know this kid sent it on WhatsApp so I won't forget you guys. G yes. So, that's how it is. So the tasks don't get scattered either. So I don't keep going back and forth on WhatsApp, I just keep going back and forth to Google Classroom to look around . Okay, if so, I'll close it now. Now the clock shows 0235. Happy studying to you all. Enthusiasm to continue learning PJJ. I hope that the material I am presenting this time can be accepted and understood by you. Keep up the enthusiasm for all of us at KalopJ. Stay healthy. May we always be given good health. If you are sick, I hope Allah will heal you soon. Well, I'll end it. Peace be upon you and Allah be upon you . One. Thank God.