Question

Without actually performing the long division , state whether the 543/225 has a terminating decimal expansion or non terminating recurring decimal expansion

Answer 1

the number is 543/225

so to find that the number is terminating or not

you have to check that the denominator have not factor other than 5,2 so 225 =3*3*5*5 so there is factor of 3 in it so the number is non terminating