 So for division of fractions, we're going to do exactly the same thing that we did for division of whole numbers. And again, keep in mind that arithmetic is bookkeeping. So what did we do with whole numbers? Remember that there's two ways of looking at the division A divided by B. We can either view it partitively or quotitively. And in a partitive division, the divisor B is going to be the number of parts, and the quotient is going to be the size of each part. On the other hand, if I'm looking at this as a quotitive division, the divisor B is going to be the size of each part, and the quotient is going to be the number of parts. Both of these interpretations of division are important for finding fractional quotients. So for example, let's say the first problem, 27 and 3 quarters divided by 3. And again, we'll set up our place value chart because the arithmetic of fractions is not any different from the arithmetic of whole numbers. It is identical to the arithmetic of whole numbers in the idea that the entire goal is to keep track of how many of which units. So here I have 27 numbers. I have 3 fourths. That's what I have. Here's my fraction and the amount. I'm dividing that by 3. And if I am viewing this as a partative division, then what I want to do is I want to take what I have and form 3 equal sets from that. So from this 27, what can I form? Well, I can form 3 sets of 9. And from this 3, I can form 3 sets of 1. And my quotient is going to be the size of each of these sets. Each of these 1, 2, 3 sets has 9 and 1 fourth. So the amount is going to be expressed as 9 and a quarter as my quotient. What if I'm doing a division like 4 divided by 2 thirds? Well, here's their problem is that I can't really make good sense of what I might mean by 2 thirds part. So it doesn't make a lot of sense to talk about this as a partative division. So I can also view this as a quotitive division. I'm going to take 4 and I'm going to break it up into parts of size 2 thirds. Now, a picture might help. So let's draw 4 units. Space is cheap, so let's draw those fairly big. So here's my 4 and I want to form 2 thirds from this set. So well, if this is 1, then to form 2 thirds, I'm going to break that 1 up into 3 pieces and I'm going to take 2 of them. So there is a 2 thirds. Well, anything you do once you can do as many times as necessary. I want to form another 2 thirds. So I'll break this one up and let's see. Well, here's a 2 thirds right here and there's another one right there and I'll keep going. I'll break this up. I'll break this up and there's and let's see. So as a quotitive division, how many 2 thirds can I make for my initial 4? I can count 1, 2, 3, 4, 5, 6 and so my quotient is going to be 6.