Question

without performing the actual long division find if 395/1050will have terminating or non terminating (repeating decimal expansion )

Answer 1

Non terminating. 1050 is a multiple of 3 which isn't present in 395.
Even if we reduce this fraction to the lowest term, a multiple of 3 still stays in denominator. This will lead to a recurring decimal.

Answer 2

It is non terminating as if the denominator can be written as 2^m or 5^n or 2^m *5^n. Then it is terminating otherwise none terminating