Partitioning Areas of Rectangles with Mixed Number Side Lengths

Calculate areas of rectangles with fractional side lengths by partitioning and counting areas of unit size in this activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
The product of 4 and 5 is 40. The product of [math]5\frac{1}{2}[/math] and [math]8\frac{1}{4}[/math] is [math]45\frac{3}{8}[/math]. Where did the 5 come from in the product [math]45\frac{3}{8}[/math]?
How is the fraction part of the product of mixed numbers determined?
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Information: Partitioning Areas of Rectangles with Mixed Number Side Lengths