Yes, I'm sure hardly any would say "three fourths" for (/ 3 4) and a lot of them would for 3/4. (A lot of them might also say "three or four".)

Incidentally Scheme syntax recognizes 3/4 as a rational number. It will do rational arithmetic without floating point problems.

Are you sure random people are going to recognize "3/4" notation? It could be different for "3 ÷ 4", but I think "3/4" is not widely used outside of programming?

Have you ever looked at a cookbook?

http://www.tasteofhome.com/recipes/how-to-cook/how-to-cut-do...

Taken a drive?

https://c1.staticflickr.com/5/4149/5174138836_6603010a7d_b.j...

It is a country-specific convention. What's written as e.g. ½ in US would be more commonly written with a horizontal dividing line in many other places, or simply as 0.5. Similarly, 2.5 instead of 2½ etc.

No, I didn't... At least, not in English. Good to know, thanks.

It's used outside of programming in, say, mathematics. :)

Racket (and others?) gives you a sugar of (n . / . d) to infix any two-arg function if that's a stumbling block.