If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content
Current time:0:00Total duration:2:44

Video transcript

so we have here it says 2 times 4/3 is equal to 8 times blank 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 4/3 and all I know it sounds like I just said the same thing over again but I'm going to write 1/3 for times 1/3 plus 1/3 plus 1/3 plus 1/3 this is literally if you call each of these 1/3 there you literally have 4 of them this is 4/3 2 times 4/3 it's the same thing as 2 times literally 4/3 now what would this be well this is going to be equal to this is going to be equal to let me just copy and paste this it's going to be this 2 times so copy and then let me paste it so that's one group of those 1 thirds of those 4 one thirds or one group of one of these 4/3 and then we'll have another one and it'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 thirds and we need to count them up we have 1 2 3 4 5 6 7 8 thirds 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 one thirds and I'm adding them together which is the exact same thing as eight thirds so let me clear that and let me clear that clear that and so this is literally or this is clearly or hopefully clearly equal to this is equal to eight times 1/3 I have eight one thirds there so going back to the original question what is this equal to two 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 8 over 3