- Let'ssee if we can figure out what 2/3 divided by 5 is equal to. Pause this video clip and seeif girlfriend can number this out. Well, over there is a pair ofways that we can technique it. Us can an initial do it in a conceptual way, think around it visually. To do that, let me stand for 2/3, therefore let's say the what I'm drawing right over here is a whole. This is a square, andit represents a whole. Now, I can divide intothree same sections. I'm gonna try to hand-draw that. So, this is, that looks quite good, three equal sections here. Each is 1/3, and also we have 2/3, so we are really representing every one of this stuff right over here. That is two of my thirds. Now, ns wanna divide those 2/3 by five. Well, the means I might do this is I can divide it intofive same sections. But, if I'm law it, i might too just divide everything, all the thirds, into five equal sections,so let me execute that. So, one, two, three, and also thenfour, and also five equal sections. So, what is one of thosefive equal sections the my initial 2/3? Well, this ideal over right here is among those 5 equalsections of my initial 2/3. An alert I can draw that, Icould draw an additional one here, one more one here, another onethere, and another one there, and also I would certainly have five equalsections that consist of those 2/3. But, what does just one of lock represent? and also if we figure out whatthis to represent of the whole, climate we recognize what 2/3 split by 5 is. Well, when I took mythirds and I separated them into 5 equal sections, Iessentially created 15ths. How do I recognize that? Well, I had actually one, two, three thirds, and also then I split it into one, two, three, four, five sections, so each of this squaresright over right here is a 15th. You have actually three times five, and also you can count 'em if you like. And, what we have circled offin red is 2 of these 15ths. We have 1/15 appropriate over here, and then 2/15 best over there. So, this is going come be equal to 2/15. Now, another means thatyou might think about, and over time this is theway friend will method it, yet it's nice come thinkabout it conceptually, when you division by any type of number, it's the same thing asmultiplying through the reciprocal. So, 5 is the same thingas 5 wholes, or 5/1. And also so, 2/3 split byfive is the exact same thing together 2/3 time the mutual of five, or the mutual of 5/1,which is you just swap the numerator and also thedenominator, i m sorry is 1/5. And also so, another means ofthinking about this is this is 1/5 of 2/3, whichit when again will certainly be this section right over here. The method you could compute this, conceptually, you view that this is 2/15, however you could additionally say well,I could just main point it. When I multiply fractions I can just main point the numerators. 2 times one is two. We execute that same red color. Two times one is two, and also then I might multiplythe denominators. Three times 5 is 15.

And, hopefully, what us just attracted out may aid make sense ofwhy separating by other is the very same thing asmultiplying by the reciprocal. Then, once you multiply fractions, it's the exact same thing asmultiplying the molecule to obtain our brand-new numerator,and climate multiplying the platform to getour brand-new denominator.