Question

without actually performing the long division write whether 24/75 is terminating or not

Answer 1

Just Check the denominator of the given fraction whether it can be expressed as product of prime factors of 2 or 5 or both.
If it is expressed that way, it is terminating.


24/75

75 = 5×5×3 = 5²×3

------> 5 exists

So it is terminating decimal



proof :
24/75 = 0.32