Using a Rectangular Region as the Unit, Illustrate Each of the Following

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The Answer is A) The expected way is to start with 2/3 of a rectangular region shaded. Cut it with marks perpendicular to the marks for thirds to give slivers that are fifths (and small boxes that are fifteenths), turning the 2/3 into 10/15. Notice that, in order to add another 4/5, we need 12/15, yet there are only 5/15 left in the first box. A duplicate of the first box needs to be made, so the other 7/15 can be shaded. An additional 4/5 would entail four slivers or 12 small boxes. Since there are only five small boxes left, seven small boxes, or 7/15, of another whole is needed.
B) This is similar to part A, except that each addend is more than one whole. There are 2 9/10 when all the work is done.
C) The easiest way is to recognize that 10/8 = 5/4 = 1 1/4, but that may not be regarded as fair. Show 10/8 with parallel cutting marks and shading on the two rectangular regions. That should show that 1/2 is 4/8, which can then be crossed out from the 10/8.

Using a Rectangular Region as the Unit, Illustrate Each of the Following

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Using a Rectangular Region as the Unit, Illustrate Each of the Following

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Correct Answer:
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