Thousands of students hit a wall at algebra and calculus because of this aspect of notation. The tendency of more basic courses and examples to omit ratio representation doesn’t help. I have a student who is very process focused (the procedures are safe! reliable) but I’m worried she thinks each of these is a totally different function. 

Does this mean that ratios never clicked for her? 
Or is this just about “experience” and with time you are confident that these are all the same beast?

https://cdn.masto.host/sauropodswin/media_attachments/files/111/183/613/625/624/072/original/c4bd88613d636d07.png