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  • - [Instructor] We are told, "Select the two fractions

  • "that are greater than one."

  • So pause this video and see if you can figure out

  • which two of these fractions are greater than one.

  • All right, now let's work on this together.

  • And so, the main realization here,

  • the main thing to pay attention to is how the numerator

  • relates to the denominator.

  • When we are at one, they're equal to each other.

  • For example, one is equal to one whole.

  • I guess you could write it that way, one oneths.

  • Or you could also write it as two halves,

  • is also equal to three thirds,

  • is also equal to four fourths.

  • We could go on and on.

  • If you want it in terms of sixths,

  • one would be equal to six sixths.

  • And so, if whatever we have up here

  • is larger than the denominator,

  • so if we have seven sixths

  • or if we were to have maybe five fourths.

  • Notice, the numerator is larger than denominator.

  • These are all situations when we are greater than one.

  • And all the situations where the numerator

  • is less than the denominator, so example one half

  • or nine 11ths, or 10 11ths,

  • these are all situations where we are less than one.

  • All of this is less than one.

  • So let's look over here.

  • Four is less than six.

  • Four sixths is less than six sixths.

  • Remember is the same thing as six sixths.

  • So this is not greater than one,

  • so I would not select that.

  • Nine fourths, well that's definitely larger

  • than four fourths.

  • That is greater than one

  • and once again our numerator is larger than our denominator,

  • so we know that we are greater than one.

  • So I will select that one.

  • And then we see again five halves.

  • Two halves is equal to one,

  • so five halves is definitely greater than one.

  • So I like that one as well.

  • And notice, five is greater than two

  • and then we are already know we picked our two choices,

  • but we can look at the other ones.

  • Seven is less than eight,

  • so seven eighths is less than eight eighths,

  • so this is less than one.

  • And three thirds, we've already talked about it,

  • that's equal to one.

  • So I like those two choices.

  • Let's do another example that tackles it

  • a little bit of a different way.

  • It says, "What, which fraction could represent

  • "Point A on the number line?"

  • And Point A is here.

  • They don't tell us a lot about Point A,

  • but all they do tell us by looking at the number line

  • is that Point A is less than one.

  • So which of these, another way to think about it,

  • is less than one?

  • All right, in order for it to be less than one

  • the numerator has to be less than the denominator.

  • Here our numerator is greater than the denominator.

  • Seven fourths is definitely larger than four fourths.

  • Remember, four fourths is equal to one.

  • This right over here I could rewrite as four fourths.

  • And so, seven fourths is going to be someplace,

  • seven fourths is going to be someplace over there.

  • So this is definitely not our choice.

  • Two halves, well once again that's the same thing as one.

  • That's right over there.

  • So that's not our choice.

  • What about five eighths?

  • Well, five eighths,

  • the numerator is less than the denominator.

  • Eight eighths is equal to one,

  • so that's that point again.

  • So five eighths would be to the left of that.

  • So that could be Point A.

  • So I like that choice.

- [Instructor] We are told, "Select the two fractions

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A2 初級

將分數與1聯繫起來 (Relating fractions to 1)

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    林宜悉 發佈於 2021 年 01 月 14 日
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