# Equivalent fractions | Fractions | Pre-Algebra | Khan Academy

Welcome to the demo on fraction equation Well the equation for fractions is to have Kesrin contains Different numbers from each other, but in reality they have the same value Let me show you that Suppose I have a fraction 1/2 Why not write this Let me check if I am writing in the correct color Suppose I have a fraction 1/2 If I draw this, suppose I have a pie and I wanted to cut it into two pieces So maqam will be 2 And if I want to eat a piece of it, I will I eat 1/2 makes sense Nothing complicated here Well, what if instead of dividing the cake into two parts? And let draw the same pie again So instead of dividing it into two parts, what if you split it up? Into 4 parts? In this case it becomes the denominator He is 4 Instead of eating one piece, this time I will take 2 out of 4 In other words, 2/4 If we look at these two pictures, we can see that I am I ate the same amount Thus these fractions have the same value If someone tells you that he has eaten 1/2 a pie or that he is He told you he ate 2/4 of a pie, that means it Eat the same amount in both cases For this reason we say that the two fractions Equal In another way, if we had Let’s say, oh this pie isn’t pretty, anyway let’s suppose It’s the same kind as the previous pie And we want to divide it into 8 pieces Now, instead of eating 2, we want to eat 4 out of 8 pieces So I ate 4 out of 8 Well, what it means is I am still taking the same earlier amount Half the pie As we see here, 1/2 = 2/4, so = 4/8 Now do you see a certain pattern when you look at The relationship between numbers in 1/2, 2/4, and 4/8? Well, to go from 1/2 to 2/4 we have to multiply the denominator The denominator is the number below Breakage We multiply the denominator by 2 And when you multiply it by 2, we are too Multiply the numerator by 2 We did the same here And it makes sense because, if you double a number Cut the pie, so I eat twice as many I ate the same amount of pie Let us solve some other examples that explain equal fractions Hopefully, it will clarify the picture further Let me erase this Why can’t I clear this? Let me use a regular mouse well, that is good sorry for that Let’s say I have a 3/5 fraction Well, in the same way, as we did a beating The numerator and denominator are in the same numbers, you will We get equal fractions If we multiply the numerator by the number 7, as well as the denominator So we’ll get 21, because 3×7 = 21, 21/35 Thus 3/5 and 21/35 are two equal fractions And we basically, I don’t know if you really know how Multiplying fractions, but all we did was we multiplied 3/5 x7 / 7 to get 21/35 And if you look at this, what we’ve done is not magic Well then what is 7/7 actually? If I have 7 pieces of pie, I want to eat 7 of Of which; This means that I ate the whole pie So 7/7, it’s the same 1 So everything we said was true, 3/5 we did Multiply it by 1 It is the same value for 7/7 Oh this is misleading This explains how we got to 21/35 It is interesting All we did was multiply the number by 1 and we know Any number we multiply by 1 equals itself And all we did was find the same fracture but differently As 21/35 Let’s start with the fraction 5/12 I want you to write the maqam in a picture, let me say The position should be 36 Well, to go from 12 to 36, what should we hit? Since 36/12 = 3 So we have to multiply the denominator by 3, and we also have to Multiply the numerator by 3 x3 We get 15 So we get 15/36 which is the same value as 5/12 Just go to our original example, which he says If I have a 12-piece pie and eat 5 of them Suppose I really did And you had a similar pie the same size, that you have Containing 36 pieces and eat 15 of them In the end, we ate the same amount