The Real Number System is made up of
all the points on the number line.
 
Real Numbers are either integers, rational or irrational. 
(These are the subsets of the real number system.)

Since integers can be written in fractional form,
integers can also be considered rational numbers.

The numbers shown here represent both
rational and irrational numbers.

Repeating decimals are also rational numbers.
Take for example the repeating decimal

This can be expressed as a ratio of two integers as

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