There are fractions that do not have exact decimal representations. For example:

The decimal numerals in which *there is periodic and infinite repetition of one or more digits*, is called periodic decimal numerals or **periodic tithes**.

In a periodic tithe, the infinitely repeating numerals or digits constitute the **period** of this tithe.

## Simple periodic tithes

In periodic tithes **simple**, the period appears shortly after the comma. See the examples:

(period: 5)

(period: 3)

(period: 12)

## Composite Periodic Tithes

In periodic tithes **composite**, between period and comma there is a non-periodic part. Examples:

Period: 2

Non periodic part: 0

Period: 4

Non-Periodic Period: 15

Period: 23

Non periodic part: 1

Comments:

We consider non-periodic part of a tithe the term between commas and the period. We therefore exclude from the non-periodic part the integer. We can represent a periodic tithe in the following ways:

Next: Generator of a Periodic Tithing