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• - [Instructor] So what we're going to do in this video

• is think about equivalent fractions.

• So let's say we have the fraction 3/4,

• and I wanna think about

• what is an equivalent number of eighths?

• So 3/4 is equal to how many eighths?

• And to represent that how many,

• I could put a question mark there,

• but instead of a question mark, I'll just put a letter.

• So what should y be?

• 3/4 is equal to y/8.

• What does y need to be to make this true?

• And before I tell you go go pause this video

• and try to work on it on your own,

• which I will do in a little bit,

• I'll give you a little bit of a hint.

• So let's try to represent 3/4, or I'll represent it for you.

• So I will do it with this rectangle.

• So I'm going to divide it into four equal sections.

• So let's see, that would be dividing it roughly in half.

• I'm hand-drawing it, so it's not perfect,

• but these should be equal sections.

• The areas of each of these sections should be equal.

• So there you go, this is my hand-drawn version of that.

• And so three of those four, and I will do that in purple.

• Three of those four, it could be one,

• two, and then just for kicks I will do this one out here.

• So that is 3/4 right over there.

• So I'm going to draw another whole.

• But this time instead of just splitting them into fourths,

• I'm going to split it into eighths.

• So let's do the fourths first,

• just 'cause it's easy to look at the one above that.

• So that's my fourths.

• And then I'll divide each of the fourths into two.

• So that gives me eighths.

• All right, almost there.

• The drawing is really the hardest part here.

• And so each of these is an eighth.

• It's hand-drawn.

• But imagine if there were eight equal sections.

• So how many eighths is equal to 3/4?

• Pause the video and try to work it out on your own.

• All right, well, we can just look at this visually.

• So this first fourth, we could say that's equivalent

• to filling out this eighth and this eighth.

• So that first fourth is equal to 2/8.

• This second fourth is equal

• to another two of these eighths.

• And then this third fourth is equal

• to another two of the eighths.

• So how many eighths have I shaded in?

• Well, I have one, two, three, four, five, 6/8.

• So I have six over eight.

• So 3/4 is equivalent to 6/8.

• So in this scenario, y is equal to 6/8,

• or we could say 6/8 is equal to y.

• Now let's do another example.

• So what we could see here in this top circle

• is we've divided it into six equal sections.

• So each of these are one of the six equal sections or 1/6.

• And we can see that one, two, three, four

• of them are shaded in.

• So what we have represented in that top circle,

• that is four out of six.

• So what I wanna think about is

• how many thirds are equivalent to 4/6?

• Pause this video and think about it.

• So once again, how many thirds are equivalent to 4/6?

• Instead of just putting a question mark there,

• I'll put the letter x.

• So what should x be for these two things to be equivalent?

• Or another way to think about it is

• four over six is equal to

• x over three.

• 4/6 is equal to how many thirds?

• All right, now let's do this together.

• And so one way you could think about it,

• let's see, for 1/3,

• for us to make this equal to 1/3,

• it looks like that is equivalent to

• what I am circling in the orange up here.

• And that also makes sense.

• If I were to divided 1/3 into two,

• so now I would have this would be 1/6 and that would be 1/6.

• So you need 2/6 to make up 1/3,

• or each 1/3 is equivalent to 2/6.

• So this is 1/3 right over here.

• And that is equivalent to two of these sixths.

• But we are not completely done yet.

• We have another two sixths.

• So we could say those two sixths are equivalent

• to another third.

• And it's a little tricky because they didn't put

• this sixth next to that sixth,

• but you could imagine if we were to move.

• Let's say we were to move this sixth.

• So I'm gonna color this one in white.

• So if I were to move that sixth to right over here.

• So then you can see that these two sixths right over here,

• these two sixths are equivalent

• to this third right over there.

• So what you can see is, is that our 4/6,

• and remember, I moved this one over,

• so I'm not shading this one in anymore.

• But you can see the 4/6

• that I've shaded in is equivalent to 2/3.

• Or another way to say it is x would be equal to two.

• X would be equal to two.

• 4/6 is equal to x/3, or 4/6 is equal to 2/3.

- [Instructor] So what we're going to do in this video

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A2 初級

# モデルによる等価分数 (Equivalent fractions with models)

• 0 1
林宜悉 に公開 2021 年 01 月 14 日