A rational number is a quotient of two integers. For our purposes, we will restrict ourselves to positive integers and rational numbers in the interval (0, 1). In this part of the website, we explore some of the properties of rational numbers, especially regarding prime and coprime integers.
Topics
- Coprime numbers
- Rational numbers in Qn = {h/k : 0 < h < k ≤ n}
- Converting a decimal to a fraction
- Converting fractions to decimals (repeating and terminating decimals)
References
Stack Exchange (2022) Probability that two random numbers are coprime is 6/π2
https://math.stackexchange.com/questions/64498/probability-that-two-random-numbers-are-coprime-is-frac6-pi2
Wikipedia (2023) Basel problem
https://en.wikipedia.org/wiki/Basel_problem
Lei, J., Kadane, J. B. (2019) On the probability that two random integers are coprime
https://arxiv.org/abs/1806.00053
Lyons, C. (2016) The secret life of 1/n: A journey far beyond the decimal point. Mathematical Enthusiast
https://scholarworks.umt.edu/tme/vol13/iss3/3