Question

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

Answer 1

7/75 → 7/5²×3..... therefore it will have non-terminating decimal expansion

Answer 2

it's your answer
$\frac{7}{75} \\ \frac{7}{3 \times {5}^{2} }$
denominator has factor other than 2 and 5

So, it is a non terminating repeating decimal expansion.