Question

If the lowest form of a fraction is a/b, (b≠0)ab, (b≠0) , then​

Answer 1

Answer:

ab  can be represented in a terminating decimal representation only if by multiplying both the numerator and denominator by some whole number  n , you can get

ab=n×an×b=n×a10k  

⟹n×b=10k  

⟹n=10kb  

⟹n=2k×5kb  

Since  n  is a positive integer,  2  and/or  5  can be the only prime factors of  b .

So we have our answer -

ab  can be represented in a terminating decimal representation only if  b=2p×5q , where  p  and  q  are non-negative integers, including zero.

Step-by-step explanation: