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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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lenpollock

Lvl 16
10mo ago

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