Question

Which of the following has a terminating decimal expansion.
a) 77/210
b) 23/30
c) 125/441
d) 23/8

Answer 1

Answer:

the faction whose denominator have factors in the form 2^n×5^m have terminating decimal expansion

a)77/2×5×3×7 so it is non terminating

b)23/2×3×5 it is also non terminating

c)125/3×3×7×7 it is non terminating

d)23/2×2×2 it is terminating