Name: Multiplication and division relationship for fractions
Uploaded: 2020-03-31T01:51:00.000Z
Duration: 3 min 35 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...

- [Instructor] You are likely already familiar

with the relationship between multiplication and division.

For example, we know that three times six

But another way to express that same relationship

is to say, all right, if three times six is 18,

then if I were to start with 18 and divide it by three,

Now we're just going to extend this same relationship

if I were to tell you that 1/4 divided by,

and I'm going to color-code it, divided by two

Well, if 1/4 divided by two is equal to 1/8,

that means that 1/8 times two is equal to 1/4.

Let me write this down, or I could write it like this.

I could write that 1/4 is going to be equal to,

Let's say that I were to walk up to you on the street

and I were to tell you that, hey, you, 42

In the future, we will learn to compute things like this.

how could we express this same relationship

Well, if 42 is equal to seven divided by 1/6,

This is the same relationship as saying that 42 times

Now let's say I walk up to you on the street

So can we rewrite this relationship between 1/4, six, and t,

but instead of using division, use multiplication?

Pause this video, and try to think about it.

based on all of the examples we've just seen,

that means that if we were to take t times six,

So we could write it this way, t times six,

I really want you to think about how this relationship

is really just the same relationship we saw up here.

and representing some of the numbers with letters.

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Multiplication and division relationship for fractions

sense

familiar

express

represent