Title: Fraction Basics
Publish Date: Oct 2013
Description: If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter. Good thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).
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Time Transcript Action
00:00:00 what we're going to talk about in this video is the idea
00:00:03 of a fraction will see there's many ways to think about a fraction
00:00:08 but first we'll think about the most fundamental
00:00:11 so let's say that I have this square
00:00:14 and this is the whole we can consider this a whole let me write that down this is
00:00:18 a whole it is a complete square know what I'm going to do
00:00:23 is divided this into 4 equal parts
00:00:26 so with one cut like that i divided into two equal parts
00:00:32 and there was another cut like this I could divide it into
00:00:35 four four equal parts so there are four
00:00:39 equal parts and now what I'm going to do is I'm going to select one of those equal parts
00:00:44 so let's say this part right over here I am going to select
00:00:48 that so the question is what fraction of the whole
00:00:52 is the part that I have shaded in red well it is one
00:00:57 out of the four equal parts right I've shaded in one out of one two three four
00:01:02 equal parts so we write this as this fraction
00:01:06 this piece represents 1/4 of
00:01:09 the whole and there's two ways that you can think about this
00:01:12 you could do this is one of the four equal parts
00:01:16 or you could view this as a whole divided by four
00:01:20 would get you exactly this much
00:01:24 now let's do another one this time let's think about how we would
00:01:28 how we could represent one over
00:01:31 8 so one over
00:01:35 8 well we could divide
00:01:39 this whole in this case a whole is this rectangle looking thing
00:01:42 we could divide the whole into 8 equal parts so let's do that
00:01:46 so here i divided into two equal parts
00:01:50 looks pretty good and now I could divide each of those into two equal parts to
00:01:54 get me four equal parts
00:01:56 that if I were to divide each of those into
00:01:59 two equal parts into two equal parts
00:02:02 I will have I will have eight equal parts it's not exact because i've drawn it by
00:02:08 hand but hopefully this gets you sense
00:02:09 so now have 8 equal parts 8 equal parts
00:02:13 and now I'm going to select exactly one of them and that will represent 1/8
00:02:18 and I could select any one of these but i will just do this once to show you does not have to be
00:02:22 necessarily the first one so once again this square right over here that i'm shading
00:02:27 in red represents one eighth
00:02:30 of the whole now we also got a few more examples where I'd
00:02:34 shaded it in a min ahead of time what I want you do right now
00:02:38 is pause the video neither in your head on a piece of paper
00:02:41 right down if you consider this this purple thing the whole
00:02:45 what fraction does this red part represent if you consider this blue part the whole
00:02:50 what fraction is this red part represent if you view this yellow triangle as a
00:02:55 whole what fraction is this red part represent
00:02:57 and so I encourage you to pause the video now well let's look at each of these
00:03:03 so in this case for this rectangle
00:03:06 we have three equal parts and we've shaded in
00:03:09 one of them so this red rectangle
00:03:13 this red rectangle right over here represents one-third
00:03:16 of the whole now over here in this kind of pie looking thing the circle looking thing we have
00:03:22 1,2,3,4,5 equal parts
00:03:26 5 equal parts and we have shaded in
00:03:30 one of those five equal parts so this little slice of the pie
00:03:34 this represents one-fifth this right over here is one-fifth
00:03:38 of the entire of the entire
00:03:41 fracture or of the of the entire pie now this one's interesting
00:03:46 you might be tempted to say well I've got four parts
00:03:50 and then I shaded in one that must represent 1/4
00:03:54 but remember it needs to be 4 equal parts
00:03:57 it's pretty clear looking at this that this part right over here
00:04:01 is not equal in size to this part right over here or this part right over here
00:04:05 these are not four
00:04:06 equal parts so we cannot say that this is 1/4
00:04:10 of the triangle so you cannot say that