Math humans!

Look at this flowchart:

I am not a digital artist, as you can probably tell, and I put this together in Sheets, which is certainly really far from the best way to do it, but it gets the job done. Here’s the question: how do I best include the existence of fractions? Fractions are always rational, but depending on what the fraction is, it can be any of the rational number sub-categories as well. I could just include an instruction after the first question to convert fractions to decimals, but 1) that feels inelegant, and 2) it sort of introduces another source of error, but that source is there anyway, I suppose– a kid that doesn’t recognize 1/3 as a repeating decimal is probably also not going to realize that 12/4 is a natural number.

Can you figure out a way to work fractions into this without adding a ton of qualifiers and disclaimers or extra questions? One or two is fine but I don’t want this to get much messier than it already is.

Hmm.