Question

Image posted of my question below please explain in the easiest form possible Thanks!!!!!!

Answer 1

Let us consider the following picture. Each square woud represent 1/3.

Note that since each square is a 1/3. Then the colored tiles represent 2 1/3. Now, note that the lower part of the drawing is using a "ruler" whose length is exactly 2/3. By measuring continously with the 2/3, in a way, we want to know how many times we have to use the ruler to reach the initial 2 1/3. This action of "how many times " leads to a division.

That is, we have initially 2 1/3 and we want to divide it by 2/3. This would tell us how many times we would have to use this "ruler" to get the initial lenght. Hence, the division is

`2\text{ }(1)/(3)\text{ / }(2)/(3)`

From the picture, we see that we have to use the 2/3 "ruler" a total 3 and a half times to get the initial length. Then we have that

`2(1)/(3)/(2)/(3)=3(1)/(2)`

which is the first option.