Question

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

Answer 1

Answer:

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$

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:

$Gray = 11 * \frac{1}{3}$

$Gray = \frac{11}{3}$

Express as a mixed number

$Gray = 3\frac{2}{3}$

The black rectangle covers 8 partitions

So:

$Black= 8 * \frac{1}{3}$

$Black= \frac{8}{3}$

Express as a mixed number

$Black= 2\frac{2}{3}$

So, the model is:

$Gray + Black = Total$

Where Total is the point where the black rectangle stops

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$