- Let'ssee if we can number out what 2/3 split by five is equal to. Stop this video clip and seeif girlfriend can figure this out. Well, over there is a pair ofways that us can technique it. Us can an initial do the in a theoretical way, think about it visually. To perform that, let me stand for 2/3, for this reason let's say the what I'm drawing right over here is a whole. This is a square, andit represents a whole. Now, I deserve to divide intothree same sections. I'm gonna shot to hand-draw that. So, this is, the looks quite good, 3 equal part here. Each is 1/3, and also we have 2/3, for this reason we room really representing every one of this stuff ideal over here. The is two of mine thirds. Now, ns wanna divide those 2/3 through five. Well, the way I can do this is I could divide it intofive equal sections. But, if I'm law it, i might as well just divide everything, every the thirds, into 5 equal sections,so allow me execute that. So, one, two, three, and thenfour, and also five equal sections. So, what is one of thosefive equal sections the my initial 2/3? Well, this appropriate over here is among those five equalsections of my original 2/3. Notification I could draw that, Icould draw an additional one here, another one here, an additional onethere, and also another one there, and I would have five equalsections that make up those 2/3. But, what does simply one of castle represent? and if we figure out whatthis to represent of the whole, then we recognize what 2/3 divided by 5 is. Well, when I took mythirds and I split them into 5 equal sections, Iessentially built 15ths. Just how do I recognize that? Well, I had one, two, three thirds, and also then I separated it into one, two, three, four, 5 sections, so each of this squaresright over below is a 15th. You have three time five, and also you can count 'em if friend like. And, what we have circled offin red is 2 of these 15ths. We have 1/15 best over here, and then 2/15 ideal over there. So, this is going to be same to 2/15. Now, another way thatyou might think about, and also over time this is theway you will approach it, yet it's nice come thinkabout that conceptually, as soon as you divide by any kind of number, it's the same thing asmultiplying by the reciprocal. So, five is the exact same thingas five wholes, or 5/1. And so, 2/3 separated byfive is the same thing together 2/3 time the reciprocal of five, or the mutual of 5/1,which is you simply swap the numerator and also thedenominator, i beg your pardon is 1/5. And also so, another method ofthinking around this is this is 1/5 the 2/3, whichit once again will certainly be this section right over here. The means you might compute this, conceptually, you view that this is 2/15, yet you could additionally say well,I can just main point it. Once I main point fractions I have the right to just multiply the numerators. 2 times one is two. We carry out that exact same red color. 2 times one is two, and then I might multiplythe denominators. 3 times five is 15.

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And, hopefully, what us just drew out may assist make feeling ofwhy splitting by something is the very same thing asmultiplying through the reciprocal. Then, as soon as you main point fractions, it's the exact same thing asmultiplying the numerators to get our brand-new numerator,and then multiplying the platform to getour brand-new denominator.