State whether following rational number have terminating decimal expansion or not and if it has terminating decimal expansion, find it:

Question

Philoid · Accepted Answer

Convert the given rational number into lowest divisible terms.

If the denominator is in the power of 2 OR/AND 5, then the given number is terminating else non- terminating.

can be written as

Prime factorization of 26 = 2 × 13

Here, denominator has got a factor other than 2 &5

So, it is non-terminating in nature.