Name: Fraction Vocabulary Crash Course | Math with Mr. J
Uploaded: 2026-03-04T22:31:34.000Z
Duration: 15 min 15 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

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

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

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

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.

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

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.

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

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

And we can think down to remember denominator.

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

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

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

Let's use a simple example for this fraction.

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

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

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

So numerator, fraction, bar, denominator.

Now let's take a look at proper fraction.

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

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

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

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.

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

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

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

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

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

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.

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

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.

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

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.

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

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

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

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

The only common factor between 1 and 2 is 1.

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

The only common factor between 2 and 3 is 1.

Moving on to common denominator and least common denominator.

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.

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

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

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

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

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

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

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

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

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

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

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

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

Like fractions are just fractions with the same denominator.

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

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Fraction Vocabulary Crash Course | Math with Mr. J

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