I think the word "rational" comes from "ratio".
For example, "1/2", "1:2", "5/4", "5 versus 4", "A/B" are ratios.
When I try to make a rational decision, I compare and evaluate the ratio of A to B.
For instance, Beethoven/Bach, folk/jazz, folk/blues, Picasso/Rembrandt, islam/christianity, islam/buddhism, chistianity/hinduism, Tuesday/Monday, summer/winter, winter/spring, Harris/Trump, apple/orange, headache/cholera, airplane/bus, bus/ship, Florida/California, marxism/capitalism, anarchy/monarchy, Joe/Jack, female/male, Asia/Africa, Asia/Australia, thriller/comedy, altruism/egoism etc.
Whatever I choose, in the end I choose from two options. If there are multiple choices -- three, for instance -- I compare A with B, B with C, C with A. So each single step handles two options; not more, not less.
And whatever I choose in the end, I choose the one that I like better than the other.
I assume our mental system consists of two subsystems: The first includes qualities; these are qualia, emotions, feelings, senses, impressions. The second subsystem is a computer; it calculates the direction I need to go when I cross the street; it computes the number of days till Christmas. This computer contains no qualities, i.e. no emotions etc. This calculator is the assistant of the first subsystem, the emotional one. The evolution probably developed the emotional subsystem first and added the second subsystem later.
This calculator, this second subsystem, does the rational work.
The first subsystem contains the emotions.
If I were to make a rational decision just to reach another rational goal, I would be caught in an infinite regress. I would be trapped in a mathematical bubble without any feelings, impressions, emotions. I wouldn't be a living creature; I would be a robot.
Therefore this calculator only makes sense if its results are used outside its mathematical bubble, namely in the emotional subsystem.
What do I do in my life? What do I want to do? I do what I like. I don't like pain. So I try to avoid pain. I don't like to die, so I try to stay alive. I want to kiss Mary, so I ask her if I may. I don't like to kill Joe, so I won't do it. I like the story of religion A or ideology B, there I feel at home, so I support this instead of the other. There is no meta religion or meta ideology that determines which religion or ideology is the best for everyone or that tells which one is absolutely correct. There is no absolutism. Everything is relative. X in relation to Y. And if it's about life and not about math, the goal is not math but good quality, i.e. aim at joy, good feelings, happiness. It's that simple.
I can't describe what a good feeling is. It's just there. It's one of the qualia. Qualitative properties like red, sweet, loud, sad, joyous etc. cannot be described in words. They existed before language was invented. They are themselves.
Now, rational decisions can be linked with each other and the whole network may become very complex. For example:
What do I like better?
[Beethoven or Bach]
[[Beethoven] on Tuesday or Sunday]
[[[Beethoven] on Sunday] with red wine or white wine]
... and so on.
It may get so complex that a final rational decision is impossible within the next five minutes or weeks or years.
Intuitive decisions can help sometimes.
I guess intuition is a set of instructions stored in memory. If an instruction is successful, it gets stored for later quick reuse. Very efficient. Many of them are also stored in our genes probably. But all in all they too can be considered rational, I think, because the one instruction was just more successful than the other. So do it this way, as stored in memory, in the genes, in intuition.