Division Illustration for Equal Sharing

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To illustrate equal sharing in the context of using 3.2 units of Awesome for 40% of a cake, the calculation shows that the total for the whole cake is 8 units of Awesome. The discussion emphasizes the need for a visual representation rather than relying on repeated subtraction. A suggested approach is to break down the cake into equal parts, noting that 1.6 units of Awesome correspond to 20% of the cake. By multiplying this amount by 5, the total of 8 units can be confirmed. The focus is on creating a clear visual model for understanding equal division.
Outblaze
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Suppose that 3.2 units of Awesome are used in 40% of a cake. How many units of Awesome are used in a whole?

The answer is 3.2 ÷ 0.4 = 8

What I need to know is how to DRAW the question as equal division and not repeated subtraction.

I attached a pic of what I think it looks like. Tell me if I'm headed in the right direction.
 

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The answer is easy to get using a proportion:
\frac{3.2}{.4} = \frac{x}{1}
==> x = 8

That apparently isn't what you want. One possible way to go is to realize that 1.6 units of awesome are used in 20% (or one-fifth) of a cake, so if you have 5 equal chunks of the cake, you'll have 5 X 1.6 = 8 units of Awesome.
 
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