Question

what are the possible factors of denominator of rational number which can be expressed as a terminating decimal​

Answer 1

Any rational number its denominator is in the form of 2^m*5^n,where m,n are positive integer s are terminating decimals. Examples 1)15/8= 15/(2*2*2)= 15/2^3 = (15*5^3)/(2^3*5^3) = 1875/1000=1.875 2) 21/5= (21*2)/(5*2)=42/10=4.2 3)31/20= 31/(2*2*5)= (31*5)/(2*2*5*5) =155/100=1.55

Answer 2

given the number is rational

therefore it can be expressed in the form p/q where, q is not equal to and q=2^n×5^m where n and m are any positive integer