For each part of this problem, convert the fraction to a "decimal" in the specified base.
(a) What is 1/2 in base 3?
(b) What is 1/7 in base 8?
(c) What is 1/(b-1) in base b?
Be sure to include complete explanations with your answer, using complete sentences. Imagine you were going to show your solution to a classmate, and try to write your solution so that he or she could understand it without doing any extra work.
Here is a video to watch that explains it.
https://www.youtube.com/watch?v=AD0T6P0AWq
I am not goingh to include complete answers because itf you watch the video and you understand then you can do that yourself.
a) \(0.5_{10}=0.\dot{1}_3 \)
The second one is the same technique so you can do it yourself.
After you have done a and b you can see a pattern so you can use that to get the answer for c
There is a pattern.
With a and b the question is 1/(the new base-1)
Look at the answers you get from this.
Think about this. then you should be able to surmise what the answer to c will be.
a) is 0.1 repeater.
What did you get for b?
So what is c?