+12 For each part of this problem, convert the fraction to a "decimal" in the specified base.
(a) Convert the fraction \(\frac{1}{2} \) to base \(3\)
(b) Convert the fraction \(\frac{1}{7} \) to base \(8\)
(c) Convert the fraction \(\frac{1}{b - 1} \) to base \(b\)
I already have the solutions to parts a and b, but I included them for context. It would be great if someone helped explain c. I know the answer to c, but not why and how it's proven. It'd be great if someone explained that. Thank you!
