Question

what kind of decimal expansion 3/13 and 123/40 have.​

Answer 1

for any rational number to have terminating decimal expansion,

q=2 or 5 or 10

3/13 is a non terminating decimal expansion because it's factors do not have 2 or 5 or 10

but 123/40,

40=2×2×10

therefore, it has a terminating decimal expansion.

hope it helps you ☺☺