A small set of utilities to satisfy my your curiosity about clock hands :)
You can input minutes/angles as a fraction (c+a/b) or a repeated decimal c.a(b)
Uses BigInt, because I don't think it's a good idea to do a fraction stuff without using an arbitrary precision math library. It may have bugs(capt. obvious always welcome), so if you find one, please notify me ASAP
PS. as a side effect you can use this tool to convert repeated decimals to fractions and vice versa

Display mode: (As you well know, decimal mode may break the whole page)