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In the example below, assume Akiva cut of the remaining grass. Could we use Pattern Blocks to model the problem? Explain your answer.
Example : Sandi cut of the grass on a lawn. Akiva cut of the remaining grass. What fraction of the lawn did Akiva cut? A Solution Use Pattern Blocks. Let the yellow hexagon represent the lawn. 6 green triangles cover the yellow hexagon. So, 6 green triangles also represent the lawn. 4 green triangles represent the grass cut by Sandi. 2 green triangles represent the remaining grass. Akiva cut of the remaining grass. One-half of the remaining grass is 1 green triangle. One green triangle represents . So, Akiva cut of the lawn.
In the previous examples, the quotient is less than the dividend; that is, , while the other quotient is greater than the dividend; that is, . Why, in your opinion, does this happen?
When the divisor is greater than , as in the first example, then the quotient is less than the dividend.
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