Without performing the actual division, check whether the following rational numbers are terminating or non-terminating 

The correct answer is: non-terminating decimal expansion.

Let x = p/q be a rational number such that the prime factorisation of q is in form 2^m5ⁿ, where m and n are non-negative integers, then x will have a terminating decimal expansion.
x = 
The given rational number is not in its simplified form. So, let’s first covert it in the simplified form
x = 
In the simplified rational number, the value of q is 13. The factorisation of 13 is given as

Final Answer:
As the factoriation of 13 is not in the form of 2^m5ⁿ,  will have non-terminating decimal expansion.