**(i) 17/8 **

Factorize the denominator we get

8 =2 x 2 x 2 = 2^{3}

So denominator is in form of 2^{n} 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 = 2^{6} x 5^{2}

so denominator is in form of 2^{n} x5^{m}

Hence 15/1600 is terminating.

**(iii) 29/343 **

Factorize the denominator we get

343 = 7 x 7 x 7 = 7^{3}

There are 7 also in denominator so denominator is not in form of 2^{n}x5^{m}

Hence it is none - terminating.

**(iv) 13/3125**

Factorize the denominator we get

3125 =5 x 5 x 5 x 5 x 5 = 5^{5}

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