A2 初級 7 分類 收藏
開始影片後,點擊或框選字幕可以立即查詢單字
字庫載入中…
回報字幕錯誤
- [Instructor] So which of the following numbers
is greater, 1/3 or 1/5?
Pause this video and try to answer that.
All right, now let's think about this together.
And the way that I can best think about it
is by visualizing them.
So let's imagine a whole.
So this is a whole right over there.
And then let's say that this is another whole
right over there, I'm gonna try to make these rectangles
about looking about the same.
And now, how would I represent 1/3?
Well, I would divide this whole into three equal sections.
And so I'm gonna try to divide it into three equal sections.
So that's three equal sections right over there.
Now they're supposed to be three equal sections,
these are hand-drawn so give me a little slack.
But one of these three equal sections, well that's 1/3.
So that is 1/3 right over there.
Now what about 1/5?
Well then I would try to divide this in five equal sections.
So one,
two,
three,
four,
and five equal sections.
And so 1/5 would be just one of these fifths.
So it would be that right over there.
So when you compare it like this, what's larger 1/3 or 1/5?
And if it isn't obvious just yet,
I could drag this one over,
so that we can compare them,
so that we can compare them directly.
And you can see very clearly that 1/3
covers more of the whole, it's a larger fraction
of the whole than 1/5 is.
So 1/3 is greater than 1/5.
And so you might have noticed an interesting pattern
or might start thinking about a pattern.
You might have been tempted when you saw the five here,
five is larger than three, but 1/5 is less than 1/3
or 1/3 is greater than 1/5.
And that is generally true,
that the larger the denominator,
the smaller the fraction is going to be.
Why is that?
Because you're dividing your whole into more equal chunks.
So if you're only dividing into three,
if it's one of three of the whole, 1/3 of the whole,
or if it's one of three equal chunks of the whole,
it's gonna be bigger than one of five
equal chunks of the whole.
And so based on this,
how would you compare these two numbers?
How would you compare 2/3 to 2/5?
Well, same idea here.
1/3 is bigger than 1/5,
so 2/3 is definitely going to be bigger than 2/5,
and you can see it here.
2/3 is that,
while 2/5 is that right over there.
And I can do another example
where I haven't even drawn it out.
How would you compare four over six
to four over eight?
So 4/6 versus 4/8?
Well, same idea.
1/6 is larger than 1/8.
1/6 is greater than 1/8,
because the denominator here is smaller.
We have the same numerator, but the denominator is smaller.
So four of the bigger things is going to be larger
than four of the smaller things.
So 4/6 is greater than 4/8.
提示:點選文章或是影片下面的字幕單字,可以直接快速翻譯喔!

載入中…

Comparing unit fractions

7 分類 收藏
林宜悉 發佈於 2020 年 3 月 28 日
看更多推薦影片
  1. 1. 單字查詢

    在字幕上選取單字即可即時查詢單字喔!

  2. 2. 單句重複播放

    可重複聽取一句單句,加強聽力!

  3. 3. 使用快速鍵

    使用影片快速鍵,讓學習更有效率!

  4. 4. 關閉語言字幕

    進階版練習可關閉字幕純聽英文哦!

  5. 5. 內嵌播放器

    可以將英文字幕學習播放器內嵌到部落格等地方喔

  6. 6. 展開播放器

    可隱藏右方全文及字典欄位,觀看影片更舒適!

  1. 英文聽力測驗

    挑戰字幕英文聽力測驗!

  1. 點擊展開筆記本讓你看的更舒服

  1. UrbanDictionary 俚語字典整合查詢。一般字典查詢不到你滿意的解譯,不妨使用「俚語字典」,或許會讓你有滿意的答案喔