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### Is there a way to extend the analogy that fractions means "x out of y" to show that fractions are also dividing?

I think the heuristic \begin{align*} \frac{8}{4} \quad \longleftrightarrow \quad 8 \textrm{ out of every group of } 4 \end{align*} still makes sense if you emphasize that you want $8$ slices of pizza ...
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### Is there a way to extend the analogy that fractions means "x out of y" to show that fractions are also dividing?

Justin Skycak wrote a great answer that you can use with your kids, but I'd like to explain how what you're telling them relates to what they might be seeing right now and later on in school. I'll be ...
• 3,120

### Is there a way to extend the analogy that fractions means "x out of y" to show that fractions are also dividing?

Justin H has a good answer emphasizing how fractions are a complex topic and we learn more and more about them over the years. To your specific question, I would emphasize the need to spend a ...
• 152