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In the 1800s the US used to mint a half-cent coin. It was discontinued when it wasn’t worth enough to bother with. It was worth the equivalent of about 20 cents today.

We used to have sales tax tokens that were 1/10 of a cent. So essentially another decimal.

https://en.m.wikipedia.org/wiki/Sales_tax_token

A tenth of a cent is a "mill". As used in gasoline prices. I learned this after reading the cash value of S&H Green Stamps and of Plaid Stamps.

The last time I saw a department store with a sign outside saying "We give Green Stamps" was probably at the end of the 70s.

I actually think that the smallest coin should be a quarter. my first job was at a movie theater, where all of the prices ended in either .00, .25, .50, or .75 because everyone who worked there was a kid and you needed to make it as easy as possible to make change fast and count the till at the end of the night. That was 20 years ago and back then I was convinced that was how the world ought to be if you were going to deal in cash

I'm afraid math doesn't with that way. You would need to replace the $1 and $5 with something.

With coins of that face value?