Question

without actually performing the long division state whether the following rational number will have terminating or a non terminating repeating decimal expansion:33\90​

Answer 1

33/90

here denominator is=90

then 90can be written in form of

5*3*3*2

it is in the form of 5^m*2*n

hence it is in the form

it's a rational, non terminating , and repeating.