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Current time:0:00Total duration:3:48

CCSS.Math:

I have a square here divided into one two three four five six seven eight nine equal sections and we've already seen that if we were to shade in one of these sections if we were to select one of these sections let's say the middle one right over here this is one out of the nine equal sections so if someone said what fraction of the whole does this purple square represent well you would say well that represents that represents 1/9 of the whole this thing right over here represents 1/9 now what would happen if we shade it in more than that so let's say we shade in this one and this one let me shade it in a little bit better and this one and this one right over here now what fraction of the whole have we shaded in well each of these we've already seen each of these represent 1/9 so that's a ninth that's a ninth when I say 1/9 I could also say a ninth so this is 1/9 or a ninth so each of these represents a ninth but how many of these ninths do we have shaded in well we have 1 2 3 4 shaded in so now we have a total of 4/9 shaded in four of the nine equal sections are shaded in so 4/9 of the whole is shaded in now let's make things a little bit more interesting let's shade in so here I have five equal sections let me write this down I have five equal sections and let me shade in let me shade in five of them so one two three four five we already know that each of these sections each of these situated in sections represent a fifth so 1/5 another way of saying that is 1/5 is 1/5 but now how much do I have shaded in well I have 5 out of the 5 equal sections shaded in or I have 5 fifths shaded in and you might be saying wait wait if I 5 out of the 5 equal sections shaded in if I have five fifths shaded in I've got the whole thing shaded in and you would be absolutely right five fifths is equal to the Heol now what I want you to do is pause this video and write down on a piece of paper or at least think in your head what fraction of each of these holes is shaded in so let's go to this first one we have one two three four five six equal sections six equal sections and we see that one two three four are shaded in so four six of this figure is shaded in let's go over here we have one two three four five six I'm sorry one two three four five equal sections five equal sections and one two three four are shaded in so here four-fifths of this circle is shaded in now in this figure I have two equal sections two equal sections and both of them are shaded in so two and this we would say two halves of this figure are shaded in and once again if two halves are shaded and that means everything is shaded in that a hole that the hole that this represents a hole now this one right over here it might be tempting to say I have one two three four sections and one two three have been shaded in so maybe this represents the red represents three-fourths of the figure but remember the sections have to be equal sections and this red section is way bigger it's actually looks like it's bigger than the other three combined so you do not have four equal sections here so at least based on how it's drawn you can't say that three-fourths is actually filled in