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what I want to do in this video is think about the idea of a fraction and for the sake of of this video as we just learn what a fraction is you can really think of it as a part of a whole later on we'll think of it and even in even more ways what do I mean by a part of a whole so let's imagine that we have a pizza I will do it in a pizza colored so I'll do it in orange I guess that's roughly the color of a pizza pizza I guess is yellow and kind of red for the tomato sauce so yellow for the chief so let's say this was a perfect circle I'm gonna try my best to draw a circle right over here and let's say that I divide it into four equal parts so just like that I've divided it into two equal parts and now I will divide it into four equal parts so there's total of four slices four equal slices of this pizza four equal slices of this pizza and let's say on three of the slices I have cheese only cheese only only cheese and let's say on this on this fourth slice I have cheese and I don't know I have olives I have olives right over here so we can ask ourselves what fraction of this Pizza has olives on it well we have four total slices they all have they're all equal slices we have four equal sections here and one of those equal sections has olives so we could say 1/4 of this pizza 1/4 of the pizza the pizza has as olives has olives 1 out of the 4 now someone said well what fraction of this pizza only has cheese well this fraction has cheese but it also has olives so we won't count that then we have 1 2 3 3 fractions 3 of these equal pieces have only cheese so we could say 3 out of a total of four pieces of so 3/4 of the pizza of the pizza has only only only cheese let's do a couple more examples because this is probably one of the most important and most useful ideas that you can have in your brains let's do another another few examples so this is what we sliced up a pizza let's imagine instead that we're looking at a a some some animals of some let's say fruit fruit is easier for me to draw so let's say that I have I have an orange I have an orange so that's an orange right over there and I have a banana I have a banana so that's my best attempt at drawing a banana right over here and I have a lemon I have a lemon just like that and let's say that I have I have an apple I'll draw I will draw let's say oxtail draw an apple it's a little bit of a strange color for an apple but we'll go with it so that is my apple right over there and actually let me draw one more let me draw let me draw a grape a grape or grapes so I have a bunch of grapes right over here and if I were to ask you at least the way that it is drawn what fraction of my fruit that I have is let's say is yellow is yellow what fraction of my fruit as drawn is yellow well we could say we have we have a total of one two three four five pieces of fruit so there's a total of five pieces of fruit and then what fraction of that of those pieces of fruit are yellow well I have to the way I drew it I have two yellow pieces right over here so we'd say 2/5 of the fruit of the fruit is and it's strange that I'm writing this in white so I'll write it in yellow is is yellow 2/5 is yellow let me do one more example to just really make the point clear so let me draw a candy bar and this is all food-related I guess it's getting close to dinnertime I apologize so let's say I have a candy bar just like that and let me divide it in two let me divide it into five equal pieces one two three four that doesn't look too equal so the whole point is to do it equal one two three four that looks pretty close so let's assume that these are equal pieces so my drawing isn't perfect but let's assume all of these pieces are equal and I'm hungry so let's say that I eat I eat this piece and I eat this piece so they essentially go away so what fraction of the pieces have I eaten well I have a total of five pieces there's a total of five equal sections of this candy bar I guess I could say and I ate two of them so 2/5 2/5 of this bar so this is you know I've little rate I've taken them away two-fifths of the bar have been eaten have been eaten so I'll leave you there maybe I'll make another video that doesn't have as many food analogies but this is a super useful concept and I encourage you to think about this as much as possible and then try the exercises on Khan Academy