# Which of the following rational numbers possesses continuous recurring in its decimal expansion 17\8,15\1600,29\343,13\3125,

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(i)  17/8
Factorize the denominator we get
8 =2 x 2 x 2 = 23
So denominator is in form of 2n so 17/8 is terminating .

(ii) 15/1600
Factorize the denominator we get
1600 =2 x 2 x 2 x2 x 2 x 2 x 5 x 5  = 26 x 52
so denominator is in form of 2n x5m
Hence 15/1600 is terminating.

(iii)  29/343
Factorize the denominator we get
343 = 7 x 7 x 7 = 73
There are 7 also in denominator so denominator is not in form of 2nx5m
Hence it is none - terminating.

(iv)    13/3125

Factorize the denominator we get

3125 =5 x 5 x 5 x 5 x  5 = 55

So denominator is in form of 5^m so 13/3125 is terminating .