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You will get a recurring decimal in which the recurring pattern will show up after the terminating decimal has come to an end.
recurring decimal
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Infinitely many. pi is not just an irrational number but a transcendental number. All irrational numbers have infinite decimals that do not go into a recurring pattern.
Notice the pattern. 0.7 repeating = 7/9 0.57 repeating - 57/99 0.357 repeating = 357/999