In a base-10 number system, the decimal form of 1/3 is an infinite sequence of threes.Fractions with denominators that do not divide 10 result in never-ending decimals.Fractions with denominators that divide 10, such as 1/2 and 1/5, have terminating decimals, but are still considered repeating.This article aims to prove that all fractions have repeating decimal forms and explores the relationship between repeating decimals and fractions.