Question

Write whether the rational number
7/75
will have a terminating decimal expansion or a
nor-terminating repeating decimal expansion.

Answer 1

Given fraction = 7/75
                       = 7/(15*5)
                       = 7/(3*5*5)
                       = 7/(3*5²)

Given fraction 7/75 has a factor other than 2 and 5 so it has a non-terminating repeating decimal expression. 

Answer 2

non-terminating repeating decimal expansion