- Let'ssee if we can figure out what 2/3 divided by five is equal to. Pause this video clip and seeif friend can number this out. Well, over there is a couple ofways that us can approach it. We can first do that in a theoretical way, think about it visually. To execute that, allow me stand for 2/3, so let's say that 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 nice good, three equal part here. Every is 1/3, and we have actually 2/3, therefore we are really representing every one of this stuff ideal over here. The is two of my thirds. Now, i wanna division those 2/3 by five. Well, the way I could do this is I can divide the intofive same sections. But, if I'm doing it, ns might as well just divide everything, all the thirds, into five equal sections,so let me perform that. So, one, two, three, and thenfour, and five same sections. So, what is one of thosefive equal sections of my original 2/3? Well, this ideal over below is among those five equalsections of my initial 2/3. Notice I might draw that, Icould draw another one here, one more one here, another onethere, and 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 represents of the whole, climate we recognize what 2/3 split by 5 is. Well, once I took mythirds and also I separated them into five equal sections, Iessentially built 15ths. Exactly how do I recognize that? Well, I had one, two, three thirds, and then I separated it right into one, two, three, four, 5 sections, so every of these squaresright over here is a 15th. You have three times five, and you can count 'em if girlfriend like. And, what we have circled offin red is 2 of this 15ths. We have actually 1/15 best over here, and also then 2/15 best over there. So, this is going to be equal to 2/15. Now, another means thatyou could think about, and also over time this is theway you will technique it, but it's nice come thinkabout the conceptually, when you divide by any type of number, it's the exact same thing asmultiplying by the reciprocal. So, 5 is the exact same thingas five wholes, or 5/1. And so, 2/3 separated byfive is the exact same thing as 2/3 time the mutual of five, or the mutual of 5/1,which is you just swap the numerator and also thedenominator, i beg your pardon is 1/5. And also so, another way ofthinking around this is this is 1/5 that 2/3, whichit once again will certainly be this section appropriate over here. The way you can compute this, conceptually, you see that this is 2/15, but you could additionally say well,I can just multiply it. As soon as I multiply fractions I have the right to just main point the numerators. 2 times one is two. We perform that same red color. 2 times one is two, and then I might multiplythe denominators. 3 times 5 is 15.
And, hopefully, what us just attracted out may aid make feeling ofwhy separating by something is the very same thing asmultiplying by the reciprocal. Then, once you main point fractions, it's the very same thing asmultiplying the numerators to get our brand-new numerator,and climate multiplying the platform to getour brand-new denominator.