Our answer is certain: YES. See
Preprint Changing π … while keeping the same value
π=3.1415926535897932384626433832795…⇒π≃3.14,
while 22/7=3.1428571428571428571428571428571…=3.(142857) ̅ …⇒22/7≃3.14≃π
Ed, but an infinite sum of rationals cannot be rational by the definition of rationals cos infinite is a key word here.)
We end this question, with a preprint that evidences the YES answer. Thanks to all collaborations. Even the noise helped, as it highlighted the signal.
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