There are two types of non-ending decimal numbers.
The first type are those that repeat forever the same string of digits. For example 1/3 = 0.33333.... In this example the numeral 3 is the one that repeats again and again. In the fraction 5/7 = 0.714285714285... it is the set of numerals 714285 that start to repeat. In both cases, although they are non ending decimals, they can be reduced to easy-to-understand fractions.
The second type of non-ending decimals are those that the digits do not follow any sort of pattern. The irrational numbers are all non-repeating decimals.
The number Pi (π) = 3.1415926535897932384626433 ... is the classic example of a non-repeating decimal. Want to see how this fact was discovered? It took a superfast computers working for years to get the result. See below...