Question

without actually performing the long division state whether the following rational number will have a terminating decimal expansion or non-terminating repeating decimal expansion: 64/455​

Answer 1

64/455(i)

p/q is terminating if

p&q are co-prime number.

and q is in the form of

$2 {}^{n} 5 {}^{m}$

where m and n are non negative integers.

it is non terminating.