Question

explain whether 17/30 is terminating or not ?

Answer 1

17/30
=17/(2x3x5)
Since there is 3 in denominator so, the given fraction is non terminating

Answer 2

Hello friend

Here goes your answer

For a rational number to be terminating, the denominator needs to have either 2 or 5 or both 2 and 5 as it's prime factors

If the prime factors of the denominator aren't so, then the fraction becames a non terminating repeating one

30=2*3*5

Here the prime factors are of the denominator i.e 30 also includes 3

So the decimal expansion won't be a terminating one

Hope it helps! :)