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
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
RedeemTarget Test Prep · GMAT
Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.
TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

with Chris Peckover

with Logan Thompson
Complete access from day one. Study on your schedule.
Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.
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.
New here Create free account