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Comments on How can Cross Multiplication be intuited or pictured?

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How can Cross Multiplication be intuited or pictured? [closed]

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Closed as unclear by Peter Taylor‭ on Nov 27, 2021 at 20:58

This question cannot be answered in its current form, because critical information is missing.

This question was closed; new answers can no longer be added. Users with the reopen privilege may vote to reopen this question if it has been improved or closed incorrectly.

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I already know, I'm NOT asking about, the algebra. It's NOT intuitive why 3 pears x 4 tangelos = 6 quinces x 2 riberries $\iff$ 3 pears/6 quinces = 2 riberries/4 tangelos.

I stumbled the picture below, but how does it proffer intuition?

arithmetic
posted about 3 years ago
3y ago
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Chgg Clou‭
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2 comment threads

What's the question? (2 comments)
I suspect you were wondered to see the $\frac{square}{star}=\frac{circle}{triangle}$ (1 comment)
What's the question?
Peter Taylor‭ wrote about 3 years ago
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If the question is "Why does dividing two equal things by the same thing give two equal things" then I'm not sure why that isn't intuitive already. Separately, the first image gives a false statement (because you always need to be wary of the special case of division by zero), and I'm not sure what the second image is about.

Chgg Clou‭ wrote about 3 years ago
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I have the same question as https://math.stackexchange.com/a/2667399, but I'm seeking a better explanation than cakes and pieces of cake.