1. Explain how you would model 5 x 2/32. When you multiply 2/3 by a fraction less than one, how does the product compare to the
1 answer:
We need find the value of "5 times 2/3" using model.
2/3 can be represented by a rectangle in which 2 out of 3 parts are colored.
When we find 5 times 2/3, then the total colored parts are 10
5 times 2/3 is the same that Add 2/3 five times, that is:
5 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
take into account that the sum of fractions with the same denominators is equal to the sum of the numerators, over the common denominator, as follow:
2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 10/3
The model is shown below:
You can notice that each rectangle has 2 blue parts of the total three parts, that is, 2/3. And due to there are other five rectangles with 2/3 of blue parts, then, you have 5 times 2/3, or 5 x 2/3 = 10/3.
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