0.636363... ( recurring to infinity) is a RATIONAL number.
It can be converted to a ratio/fraction.
Let P = 0.636363...
&
100P = 63.636363....
Subtract
99P = 63
P = 63/99 ( A ratio/fraction).
Cancel down by '9'
P = 7/11 The simplest form .
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It is a rational number because it can be expressed as a fraction in the form of 7/11