Answer:
![3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B3%7D%20%2B%202%5Cfrac%7B2%7D%7B3%7D%20%3D%206%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
![Gray = 11 * \frac{1}{3}](https://tex.z-dn.net/?f=Gray%20%3D%2011%20%2A%20%5Cfrac%7B1%7D%7B3%7D)
![Gray = \frac{11}{3}](https://tex.z-dn.net/?f=Gray%20%3D%20%5Cfrac%7B11%7D%7B3%7D)
Express as a mixed number
![Gray = 3\frac{2}{3}](https://tex.z-dn.net/?f=Gray%20%3D%203%5Cfrac%7B2%7D%7B3%7D)
The black rectangle covers 8 partitions
So:
![Black= 8 * \frac{1}{3}](https://tex.z-dn.net/?f=Black%3D%208%20%2A%20%5Cfrac%7B1%7D%7B3%7D)
![Black= \frac{8}{3}](https://tex.z-dn.net/?f=Black%3D%20%5Cfrac%7B8%7D%7B3%7D)
Express as a mixed number
![Black= 2\frac{2}{3}](https://tex.z-dn.net/?f=Black%3D%202%5Cfrac%7B2%7D%7B3%7D)
So, the model is:
![Gray + Black = Total](https://tex.z-dn.net/?f=Gray%20%2B%20Black%20%3D%20Total)
Where Total is the point where the black rectangle stops
![3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B3%7D%20%2B%202%5Cfrac%7B2%7D%7B3%7D%20%3D%206%5Cfrac%7B1%7D%7B3%7D)