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siniylev [52]
3 years ago
5

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

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

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}

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