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Problem 5. Use the fundamental theorem of arithmetic to prove that if p is & prime and 0 < m <n, then p/n cannot be fraction; i.e., pr/n 4 0...

Question

Problem 5. Use the fundamental theorem of arithmetic to prove that if p is & prime and 0 < m <n, then p/n cannot be fraction; i.e., pr/n 4 0

Problem 5. Use the fundamental theorem of arithmetic to prove that if p is & prime and 0 < m <n, then p/n cannot be fraction; i.e., pr/n 4 0



Answers

Show that any rational number $p / q$, for which the prime factorization of $q$ consists entirely of 2 s and 5 s, has a terminating decimal expansion.


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