Question

Without actual division find , whether the given fraction is terminating : 73÷365 .

Answer 1

If the denominator can be written in the form of 2^m * 5^n, where m and n are non negative integers,
the fraction will have a terminating decimal expansion.
Else if it cannot be written in that form, it eill have a non termihnating decimal expansion.

Here first prime factorise
365 ie 365 = 5 * 73
we know 365 = 5 * 73
thus the fraction reduces to 1/5,
which has a terminating decimal expansion.

Like if satisfied