Remember the 60s? Far-out man!

Question

Can you convert the following to my unusual currency?
1.25, 1.75, 2.75, 3.25
Having done that, can you explain why some people think the smallest of these is somehow the biggest - at least as far I'm concerned. After all, the odd (and some would imagine negative) result of it wasn't entirely of my making!
Anyway, it provided my partners and me with a short break (and quite a lot of money).

Who am I and what does all of this mean?

EDIT
My puzzles are usually too easy. It looks like I may have strayed the other way this time.
Solution strategy  (steps added in sequence as they appear in the question)

user70451 · Answer

You are

and those numbers are

Of particular note is the smallest of these, since

The title is a reference to

hexomino · Answer

I think the unusual currency you're referring to is

And the conversions are as follows

Can you explain why some people think the smallest of these is somehow the biggest

After all, the odd result of it wasn't entirely of my making!

Anyway, it provided my partners and me with a break (and quite a lot of money).

Title

Also

Remember the 60s? Far-out man!

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