Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits?
(1) P>Q
(2) Q=8
OA is: E
(1) P>Q
(2) Q=8
OA is: E
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You need to add one step here, at the beginning:raju232007 wrote: To find whether a fraction is terminating or not
1.Prime factorize the denominator
2.If there is a prime factor besides 2 or 5 in the denominator,the fraction represents a recurring decimal..
By 'reduce your fraction', I mean 'cancel any divisors common to the numerator and denominator'. The fraction 21/30 is not reduced, because we can cancel a 3 from the top and bottom; the fraction is equivalent to 7/10. If you know the denominator of a fraction is 30, you cannot be certain whether its decimal equivalent will terminate, since it may be that the 3 in the denominator cancels with a 3 in the numerator. If it does, the decimal will terminate, and if it does not, the decimal will repeat.vineetbatra wrote: I tend to agree with you, P her can be 8 or 16, but can you please explain what do you mean by "Reduce your fraction completely"
Also raju mentioned that "If there is a prime factor besides 2 or 5 in the denominator,the fraction represents a recurring decimal", so in other words if my denominator is 30, then my prime factors are 2,3,5 and 30 will not lead a finite fraction, however if my denominator is 10 then 8, then it will lead a finite factor.
Please explain.
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