Artificial intelligent assistant

Babilonic notation to decimal notation. Example $1;12 \cdot 15$ I'm currently working in a program that convert numbers in babilonic notation into decimal numbers. The problem I have is that the example and requirements described by the teacher deliver numbers in the following format $$1;12 \cdot 15$$ That would be a number on its "babilonic" structure. The result after some operations that I trully don't know and were shown by the teacher really fast seems like $72,25$ in decimal notation. That was the example provided and I'm not too clear about it. I've found something similar in Wikipedia referring to calculation of irrational numbers starting from a sexagesimal structure similar to the one provided but I've found is not the same. I hope somebody has any information about babilonic numbers and the notation provided because further than Wikipedia I haven't found something closer to my problem, any hint or help will be really appreciated.

I presume the ";" separates base-60 digits, and the "$\cdot$" is the analog of a decimal point, so $1;12\cdot 15$ stands for $1 \times 60 + 12 + 15/60$, which indeed is $72.25$ in decimal notation. More generally, $$ a_k; a_{k-1}; \ldots ; a_0 \cdot a_{-1} ; a_{-2}; \ldots a_{-m} = \sum_{j=-m}^{k} 60^j\; a_j$$ where $0 \le a_j \le 59$.

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