Well, the propFrac command is the right tool.

propFrac(10/3) = 3+1/3 which is correct result in terms of algebra

propFrac((x^3+x^2-1)/x) = x^2+x-1/3 which is also correct result

Notice: I used brackets here since there ar no fractions template here like in calculators.

I tested first expression on ClassPad, Voyage 200 and HP-50g and all three calcs gave 3+1/3 as a result

First of all ~~don't~~ you need to make difference between CAS and non-CAS calculators.

The non-CAS calulators are limited by arithmetic operations (numeric operations only).

The CAS calculators can make arithmetic and algebraic operations (symbolic operations) together so such calcs follow algebraic rules.

The CAS calculators treat mixed number expressions as multiplication of two variables with omitted multiplication sign, otherwise the calc can't make symbolic calulations and symbolic manipulations- see example above.

So if you write in CAS calc 5 and 2/3, you obtain 5×2/3 = 10/3 as the result, which is expected result because calc treats the 5 and 2/3 as variables, like in similar cases: 2Pi, 5e^x,2(x+3), (x+y)(x-y).

**Edited by pan.gejt, 12 June 2021 - 04:00 PM.**