- Let'ssee if us can figure out what 2/3 split by five is equal to. Stop this video and seeif girlfriend can number this out. Well, there is a couple ofways that us can method it. Us can very first do that in a conceptual way, think about it visually. To do that, allow me stand for 2/3, for this reason let's say the what I'm illustration right over right here is a whole. This is a square, andit represents a whole. Now, I deserve to divide intothree equal sections. I'm gonna shot to hand-draw that. So, this is, that looks quite good, 3 equal sections here. Every is 1/3, and also we have actually 2/3, for this reason we room really representing all of this stuff best over here. The is 2 of mine thirds. Now, ns wanna divide those 2/3 by five. Well, the means I might do this is I could divide the intofive same sections. But, if I'm law it, i might as well just divide everything, all the thirds, into 5 equal sections,so permit me perform that. So, one, two, three, and thenfour, and also five same sections. So, what is just one of thosefive equal sections that my initial 2/3? Well, this right over below is among those five equalsections the my initial 2/3. Notice I can draw that, Icould draw an additional one here, another one here, an additional onethere, and also another one there, and also I would have five equalsections that consist of those 2/3. But, what does simply one of them represent? and also if we number out whatthis to represent of the whole, climate we understand what 2/3 separated by 5 is. Well, once I took mythirds and also I split them into 5 equal sections, Iessentially constructed 15ths. Exactly how do I recognize that? Well, I had actually one, two, 3 thirds, and then I separated it right into one, two, three, four, five sections, so every of this squaresright over below is a 15th. You have three time five, and you can count 'em if girlfriend like. And, what we have circled offin red is two of this 15ths. We have actually 1/15 appropriate over here, and also then 2/15 appropriate over there. So, this is going come be equal to 2/15. Now, another way thatyou might think about, and over time this is theway friend will approach it, yet it's nice to thinkabout that conceptually, when you divide by any type of number, it's the very same thing asmultiplying by the reciprocal. So, 5 is the same thingas five wholes, or 5/1. And so, 2/3 divided byfive is the same thing together 2/3 times the reciprocal of five, or the reciprocal of 5/1,which is you simply 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 that 2/3, whichit as soon as again will certainly be this section ideal over here. The method you can compute this, conceptually, you watch that this is 2/15, yet you could additionally say well,I could just main point it. As soon as I main point fractions I can just main point the numerators. 2 times one is two. We perform that exact same red color. Two times one is two, and also then I might multiplythe denominators. 3 times 5 is 15.
And, hopefully, what us just drew out may aid make sense ofwhy separating by miscellaneous is the same thing asmultiplying through the reciprocal. Then, once you multiply fractions, it's the very same thing asmultiplying the molecule to obtain our brand-new numerator,and then multiplying the platform to getour new denominator.