How To Add Fractions Into Whole Numbers

so we have here, it says 2 times4/3 is equal to 8 times blank. and what i encourage you to dois pause the video right now and try to think about whatshould go in this blank. so i'm assumingyou've given your try. now, let's think through this.

How To Add Fractions Into Whole Numbers, so 2 times 4/3, we can literallyview that as the same thing as-- if we rewrite the 4/3, thisis the same thing as 2 times-- instead of writing4/3 like this, i'm literally going towrite it as four 1/3's.

and i know it sounds like i justsaid the same thing over again. but i'm literally going to write1/3 four times-- 1/3 plus 1/3 plus 1/3 plus 1/3. if you call each ofthese 1/3, you literally have four of them. this is four 1/3's. 2 times 4/3 is the same thing as2 times, literally, four 1/3's. now, what would this be? well, this is going to be equalto-- let me just copy and paste

this-- is going tobe this two times. so copy, and thenlet me paste it. so that's one group ofthose 1/3's, of those four 1/3's, or one group ofone of these four 1/3's. and then, we'llhave another one. and we're going toadd 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 literallyequal to-- and we could, just to make itclear what i've just done, we could ignore theparentheses and just add up all of these things together. so that might make ita little bit clearer. so let me do that just tomake it clear that i literally

take-- i've taken eight 1/3'sand i'm adding them together, which is the exactsame thing as 8/3. so let me clear that, and let meclear that, let me clear that. and so this is literally, orthis is clearly, or hopefully clearly, equal to 8 times 1/3. i have 8 1/3's there. so going back to theoriginal question, what is this equal to? 2 times 4/3 is the samething as 8 times 1/3.

and we've already seenthat 8 times 1/3, well, that's literally 8/3. so we could also writeit like this-- 8 over 3. let me do that 3 in thatother color-- 8 over 3.