Question

write whether the rational number 7/15 will have a terminating decimal expansion or a non terminating repeating decimal expansion

Answer 1

It will have non terminating repeating decimal expansion.

Hope it helps you.
^_^

Answer 2

We have 7/15 which is in p/q form therefore 7/15 is a rational no

now q = 15 = 2 × 3 × 5

clearly the prime factorisation of the denominator is not in 2^m 5 ^n form

Therefore 7/15 will have a non terminating but repeating decimal expansion ( beacuse 7/15 is rational ) .....