Is 0.63 repeating a rational or irrational number?

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 .