What can you say about the prime factorizations of the denominators of the following rational?

(i) 43.123456789


(ii)


(iii)


(iv) 0.120120012000120000…

(i) 43.123456789 = =


Since Prime factorization of the denominator is in the form, where m, n are non-negative integers.


(ii) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.


(iii) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.


(iv) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.


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