Answer :

(i) The prime factor of 5 is 5. Hence 3/5 has a terminating decimal representation.

(ii) 20 = 4 x 5 = 2

The prime factors of 20 are both 2's and 5's. Hence 7/20 has a terminating decimal.

(iii) The prime factor of 13 is 13. Hence 2/13 has non- terminating decimal.

(iv) 40 = 2

The prime factors of 40 are both 2's and 5's. Hence 27/40 has a terminating decimal.

(v) 125 = 5

The prime factor of 125 is 5's. Hence 133/125 has a terminating decimal.

(vi) The prime factor of 7 is 7. Hence 23/7 has a non-terminating decimal representation.

(ii) 20 = 4 x 5 = 2

^{2}x 5.The prime factors of 20 are both 2's and 5's. Hence 7/20 has a terminating decimal.

(iii) The prime factor of 13 is 13. Hence 2/13 has non- terminating decimal.

(iv) 40 = 2

^{3}x 5.The prime factors of 40 are both 2's and 5's. Hence 27/40 has a terminating decimal.

(v) 125 = 5

^{3}The prime factor of 125 is 5's. Hence 133/125 has a terminating decimal.

(vi) The prime factor of 7 is 7. Hence 23/7 has a non-terminating decimal representation.

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