Question

Look at several examples of rational numbers in the form p/q (q is not equal to 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions).​

Answer 1

Answer:

The property that q must satisfy in order that the rational numbers in the

from

q

p

, where p and q are integers with no

common factor other than 1, have maintaining decimal representation is

prime factorization of q has only powers of 2 or power of 5 or both .

i.e 2

m

×5

n

, where m=1,2,3,⋯ or n=1,2,3,⋯

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