Name: 分數詞彙速成班 | Mr. J 數學教室 (Fraction Vocabulary Crash Course | Math with Mr. J)
Uploaded: 2026-03-04T22:35:21.000Z
Duration: 15 min 15 s

In this video I'm going to go through a fraction vocabulary crash course.

在這部影片裡，我要帶大家快速複習分數的詞彙。

We'll go through everything you see on your screen.

我們會把螢幕上看到的每一個部分都講過一遍。

Now this will be a quick review, it's going to be a refresher.

這會是一個快速的複習，幫助大家重新喚起記憶。

So if you need more help or examples of anything, check the description after this video for follow up videos on some of these topics.

所以如果你需要更多幫助或範例，看完影片後請到說明欄找相關的補充影片喔。

So jumping into our first words here we have numerator, fraction, bar and denominator.

我們來看看第一個詞彙：分子、分數、分數線和分母。

The numerator is the top number and represents the number of parts being considered or we can think of it as the number of parts we are focused on.

分子是上面的數字，代表我們正在考慮的部分數量，也可以想成是我們關注的部分數量。

Then we have the fraction bar which separates the numerator and denominator.

然後是分數線，它分隔了分子和分母。

Then the denominator is the bottom number and represents the total number of equal parts a whole has been divided into.

然後分母是下面的數字，代表一個整體被抽成多少等份。

And we can think down to remember denominator.

我們可以聯想到「D」來記住分母。

And then if we remember what the denominator is then we know the numerator will be the top.

然後如果我們記住了分母是什麼，就知道分子就是上面的數字。

Now let's use the fraction 38 for an example.

現在我們用分數 3/8 來當例子。

Here we have the numerator, the fraction bar and the denominator.

這裡我們有分子、分數線和分母。

Let's use a simple example for this fraction.

我們用一個簡單的例子來解釋這個分數。

To take this a step further, we'll say that 38 of a whole pizza is left 8.

更進一步來說，假設有一個完整的披薩剩下 3/8。

The denominator is the total number of equal parts or pieces the pizza was divided into and the numerator 3.

分母是披薩被抽成多少等份或小塊的總數，而分子是 3。

That's the part of the pizza being considered or that we are focused on.

這就是我們正在考慮或關注的披薩部分。

So numerator, fraction, bar, denominator.

所以有分子、分數、分數線和分母。

Now let's take a look at proper fraction.

These are fractions where the numerator is less than the denominator.

所以上面的數字小於下面的數字。

1/4, 2/5 and 9/10 are all examples of proper fractions.

1/4、2/5 和 9/10 都是真分數的例子。

These are fractions where the numerator is greater than or equal to the denominator.

所以上面的數字大於或等於下面的數字。

So the top is greater than or equal to the bottom.

The value of an improper fraction is 1 or more 7/3.15 8 and 44 are all examples of improper fractions.

假分數的值等於一或大於一，像是 7/3、15/8 和 44/4 都是假分數的例子。

Remember if the numerator and denominator are the same, that fraction is equal to 1.

記住，如果分子和分母相同，那個分數就等於 1。

Then we have mixed number, that's just a whole number and a fraction.

接著我們有帶分數，它就是一個整數加上一個分數。

For example 2 1/2, 6 and 3/4 and 12 and 7/10.

例如 2 又 1/2、6 又 3/4 和 12 又 7/10。

Now, let's take a look at equivalent fractions.

Equivalent fractions are different fractions.

So the numerators and denominators are different, but they represent the same value.

所以分子和分母不一樣，但它們代表的值是一樣的。

For example, let's use a fraction that we are all familiar with.

舉個例子，我們來用一個大家都很熟悉的。

They may look different, but they all represent the same value.

它們看起來可能不一樣，但都代表相同的值。

Let's move on to simplest form, lowest terms or reduced.

So whenever we hear simplify a fraction, put a fraction in lowest terms or reduce a fraction, they all mean the same thing.

所以，當我們聽到「簡化分數」、「化為最簡分數」或「約分」時，它們的意思都一樣。

I typically use simplify, but the others are common as well.

我通常會用「簡化」，但其他說法也很常見。

Now, basically, when we simplify, put a fraction in lowest terms or reduce a fraction, we rewrite that fraction as an equivalent fraction, where the numerator and denominator are the smallest whole numbers possible.

基本上，當我們簡化分數、化為最簡分數或約分時，我們會將這個分數改寫成一個等值分數，其中分子和分母是最小的整數。

The only common factor between the numerator and denominator is one.

分子和分母之間唯一的公因數是一。

So we cannot break the fraction down any further.

Now, it's important to understand we do not change the value of a fraction when we simplify.

現在，很重要的一點是，當我們簡化分數時，我們並不會改變分數的值。

For example, let's use something to go along with 1/2.

例如，我們用一個例子來搭配 1/2。

We can simplify this fraction by dividing the numerator and denominator by the common factor of 5.

我們可以透過除以公因數 5 來簡化這個分數。

Meaning we need to divide 5 by 5 and 10 by 5.

也就是說，我們需要將 5 除以 5，以及將 10 除以 5。

5 divided by 5 is 1 and 10 divided by 5 is 2.

5 除以 5 等於 1，而 10 除以 5 等於 2。

The only common factor between 1 and 2 is 1.

所以這個分數現在是 1/2，已經是最簡分數了。

我們可以把分子分母都除以 8。

所以我們來把 16 除以 8，24 也除以 8。

16 divided by 8 gives us 2, and 24 divided by 8 gives us 3.

16 除以 8 等於 2，24 除以 8 等於 3。

The only common factor between 2 and 3 is 1.

所以這個分數現在已經簡化了。

Moving on to common denominator and least common denominator.

接下來我們要講公分母和最小公分母。

Now let's focus on common denominator first.

And a common denominator is just a shared denominator.

So a shared denominator between two or more fractions, the same denominator.

所以一個分數，兩個或更多分數之間共有的分母，就是相同分母。

So, for example, 1, 4 and 34 have a common denominator of 4.

所以，舉例來說，1/4 和 3/4 有一個公分母是 4。

Now do 2 fifths and 5, 8 have a common denominator?

So those two fractions do not have a common denominator as is.

所以這兩個分數目前沒有公分母。

Now please keep in mind when working with fractions, we may not start with a common denominator, but

現在請注意，在處理分數時，我們一開始可能沒有公分母，但是

For example, when we add or subtract fractions, we need a common denominator.

例如，當我們要加減分數時，就需要公分母。

So we find one and then rename the fractions with that common denominator.

所以我們會找到一個，然後用這個公分母重新命名這些分數。

Now, when we find common denominators, there will be an infinite amount.

所以當我們找到公分母時，會有無限多個。

So it's helpful and makes things simpler to use the least common denominator.

所以找到最小公分母會很有幫助，也會讓事情變簡單。

So when we hear least common denominator, or LCD for short, that just means the smallest common denominator.

所以當我們聽到最小公分母，或是簡稱 LCD，它就只是最小的公分母。

We will build off of this and go into more detail in other videos.

我們會在之後的影片中，以此為基礎講得更詳細。

For now, we just need to remember that a common denominator is a shared denominator.

現在，我們只需要記得公分母就是共用的分母。

The same denominator and least common denominator means the smallest common denominator out of all the possibilities.

相同的分母和最小公分母，意思就是所有可能性中最小的那個公分母。

Like fractions are just fractions with the same denominator.

同分母分數就是有相同分母的分數。

So for example, we would say that 3/10 and 7/10 are like fractions, unlike fractions are fractions with different denominators.

所以舉例來說，我們會說 3/10 和 7/10 是同分母分數，異分母分數就是分母不同的分數。

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分數詞彙速成班 | Mr. J 數學教室 (Fraction Vocabulary Crash Course | Math with Mr. J)

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