Numbers & Operations - The Real & Complex Number Systems 201-210
- Equivalent fraction and whole number multiplication problems
- Multiplying unit fractions and whole numbers
- Multiply unit fractions and whole numbers
- Multiply fractions and whole numbers
- Equivalent whole number and fraction multiplication expressions
- Multiply mixed numbers and whole numbers
Sal relates mixed numbers to whole number/fraction multiplication problem. Created by Sal Khan.
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- how would i multiply 1/4 by 96?
or 1/4 of 96(7 votes)
- You first make 96 into 96/1 then multiply strait across which makes 96/4.Now divide 96 and 4 which makes 14. 1/4x96=14 :).(2 votes)
- Why doesn't Khan ever say at the end something like " So it equals 8/3 which is also the same as 2 2/3"? Or in other word why doesn't he also mention the mixed number form of the answer?(6 votes)
- He's not try'in to confuse people. It's just that some people act like that to get the answers. That's a fact.(1 vote)
- Need help. 3 wholes 4/5 times ten(3 votes)
- I don't really get the whole number times the fraction part.(6 votes)
- Say you've got 15/12.
There are fifteen 12ths, or fifteen 1/12ths.
So 1/12 + 1/12 + 1/12... and you keep adding 1/12th onto each other 15 times until you get to 15/12.
Remember 1/12 is just 1 piece of 12 total pieces divided, imagine it as a cake or pizza you've divided into 12 pieces and you count each piece.
So you're only adding the Numerators (top numbers). the denominator (bottom number) never changes, so when you multiply a fraction by a whole number you're only multiplying the Numerator (top number).
You can do it that way... but really the number you're multiplying with is also still a fraction it's 2 wholes so you can write it as 2/1 which is just another way to represent that it's 2 wholes, when you do this multiplying 1 fraction then becomes the same as multiplying 2 fractions cos you've now got 2 fractions.(0 votes)
- What's a parenthesis? He said that in 1.44 - 1.54 from the video.(3 votes)
- A parenthesis is a symbol that looks like this: "(" or this: ")". If you have two parentheses, you can "section off" a part of your expression. In math, you're supposed to perform operations that are inside parentheses first, before you do anything else. For example, in 3 * (4 + 3), you would first add 4 + 3 and then multiply by 3.
In the video, Sal deletes the parentheses because since the only operation in there is addition, you can do it in any order. Parentheses mainly come up when you have multiple operations in one expression, like in the right side of the second equation Sal writes.(4 votes)
- Why did you use the method that you did?(3 votes)
- Just so you have somewhat of an understanding on how you can view equivalent fractions by using multiplication problems.(2 votes)
- what is 1 third plus 2 eigths(3 votes)
- 1∕3 + 2∕8
Begin by simplifying the fractions.
1∕3 + 2∕8 = 1∕3 + (1 ∙ 2)∕(4 ∙ 2) = 1∕3 + 1∕4
Then write the fractions so that they have the same denominator.
1∕3 + 1∕4 = (1 ∙ 4)∕(3 ∙ 4) + (1 ∙ 3)∕(4 ∙ 3) = 4∕12 + 3∕12
Finally, add the numerators.
4∕12 + 3∕12 = (4 + 3)∕12 = 7∕12(0 votes)
So we have here, it says 2 times 4/3 is equal to 8 times blank. And what I encourage you to do is pause the video right now and try to think about what should go in this blank. So I'm assuming you've given your try. Now, let's think through this. So 2 times 4/3, we can literally view that as the same thing as-- if we rewrite the 4/3, this is the same thing as 2 times-- instead of writing 4/3 like this, I'm literally going to write it as four 1/3's. And I know it sounds like I just said the same thing over again. But I'm literally going to write 1/3 four times-- 1/3 plus 1/3 plus 1/3 plus 1/3. If you call each of these 1/3, you literally have four of them. This is four 1/3's. 2 times 4/3 is the same thing as 2 times, literally, four 1/3's. Now, what would this be? Well, this is going to be equal to-- let me just copy and paste this-- is going to be this two times. So copy, and then let me paste it. So that's one group of those 1/3's, of those four 1/3's, or one group of one of these four 1/3's. And then, we'll have another one. And then, we'll have another one. And we're going to add them together. That's literally 2 times 4/3. So let's add these together. Now what do we have? Well, we have a bunch of 1/3's. And we need to count them up. We have one, two, three, four, five, six , seven, eight 1/3's. This is literally equal to-- and we could, just to make it clear what I've just done, we could ignore the parentheses and just add up all of these things together. So that might make it a little bit clearer. So let me do that just to make it clear that I literally take-- I've taken eight 1/3's and I'm adding them together, which is the exact same thing as 8/3. So let me clear that, and let me clear that, let me clear that. And so this is literally, or this is clearly, or hopefully clearly, equal to 8 times 1/3. I have 8 1/3's there. So going back to the original question, what is this equal to? 2 times 4/3 is the same thing as 8 times 1/3. And we've already seen that 8 times 1/3, well, that's literally 8/3. So we could also write it like this-- 8 over 3. Let me do that 3 in that other color-- 8 over 3.