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Rational
5.121212 = 5 121212/1000000 As a rational fraction .
However, if you mean 5.121212.... (recuring to infinity_
Then
Let P = 5.121212....
&
100P = 512.121212...
Subtract
99P = 507 (Note the recuring decimals subtract to zero)
P = 507/99
P = 5 12/99
P = 5 4/33 Which is also rational .
NB Terminating decimals do NOT have a series of stops.
Recuring to infinity decimals have three or more dots/stops after the last decimal digit.
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