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## 5th grade

### Course: 5th grade > Unit 6

Lesson 2: Multiplying fractions and whole numbers- Multiplying fractions by whole numbers on a number line
- Multiplying unit fractions and whole numbers
- Multiplying fractions and whole numbers visually
- Multiply fractions and whole numbers visually
- Multiplying fractions and whole numbers
- Multiply fractions and whole numbers

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# Multiplying fractions by whole numbers on a number line

We can multiply fractions by whole numbers on the number line. We multiply them by adding the fraction multiple times, just like we do with whole numbers.

## Want to join the conversation?

- Why does he make the question 5x1/3 so complex when all you have to do is do 1x5=5 and add the 3?(25 votes)
*"All you have to do"*shows that the problem is already intuitive for you to solve. For those where the problem is not yet intuitive to solve, it needs to be explained why the solution works.

Someone is eventually going to ask you "*Why do I have to do 1x5 and why is 1x5=5?*" and you have to be able to explain that in a clear manner.(9 votes)

- what if the number is big this is hard! Help Me...(13 votes)
- so you know that 3 = 3/1 right. so if 10 = 10/1 and you had a problem that said 10 x 5/10 it would = 10/1 x 5/10 10 x 5 = 50 and 1 x 10 = 10 so it would be 50/10 or 5. pls, vote me up!(5 votes)

- Can I get likes for a badge?(11 votes)
- Is this hard for you guys?(10 votes)
- Why do we have to mutiply fraction?(5 votes)
- because u need it in life even tho u really want need it unless you want to be something(0 votes)

- Yes, I understand this, but why would we want to multiply fractions? We could convert them into decimals and easily solve them. So why multiplying fractions?(5 votes)
- It may not seem useful now, but later on you will have algebraic expressions with uknown numbers (x, y, ...) in fractions and in some cases it will be very difficult to write such numbers as decimal values.(2 votes)

- why do you have to multiply upper one to upper one and the low one to low one(6 votes)
- How is 5 1/3 equal to 5/3?(3 votes)
- Actually 5/3 equals to 1 2/3, since 3 can go into 5 one time, and you have a remainder of 2(4 votes)

- why do yall talk so much(3 votes)
- Hi can you guys do this(2 votes)

## Video transcript

We're asked to move the orange dot to the number that equals five times 1/3. Alright, so one way to think about it, we just have to move 1/3 five times. So let's do it once, so that's going to be 1/3, you do it twice, you get to 2/3, you do it three times, you get to 3/3, four times, you get to 4/3, five times, you get to 5/3. Five times 1/3 is gonna be 5/3. Or you could say five 1/3, which is the same thing as 5/3, hopefully that makes some sense. Let's do some more examples here. So let's say we need to figure out, so let's see, it says move the orange dot to the number that equals two times 4/3. Alright, so one times 4/3
is just gonna get us to 4/3, and then if we have another 4/3, we're gonna add 4/3 to that, so we're gonna move
another 4/3 to the right. So 4/3 plus 4/3 would get us to 8/3. 8/3, I'm having trouble moving this, 8/3. So one times 4/3 is just 4/3, and then two times 4/3 is 8/3. And notice that's the same
thing as two times four, which is eight, over three, 8/3. Let's do one more of these. So, move the orange dot to the number that equals three times 3/2. So this is gonna be 0/2, that's just zero, so you could do that a zero times 3/2. One times 3/2, well that
will just get us to 3/2. Two times 3/2, we'll add another 3/2, so that'll get us to 6/2. And then three times 3/2, we'll add another 3/2, that gets us to 9/2, and we're done.