• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Which of the following does NOT have a decimal equivalent... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Which of the following does NOT have a decimal equivalent... Which of the following does NOT have a decimal equivalent that is a terminating decimal? A. 1/2^25 B. 5^3/2^7 C. 3^8/6^10 D. 3^9/6^7 E. 6^8/10^10 The OA is C. I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply LUANDATO wrote: Which of the following does NOT have a decimal equivalent that is a terminating decimal? A. 1/2^25 B. 5^3/2^7 C. 3^8/6^10 D. 3^9/6^7 E. 6^8/10^10 The OA is C. I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced. Important rule: a fraction can expressed as terminating decimal if, when reduced to simplest form, the denominator can be expressed as 2^n * 5^m, where n and m are non-negative integers. Out another, if, when a fraction is reduced to its simplest form, there is something in the denominator other than 2's or 5's, we know this fraction is non-terminating. Right away, we can see that A, B, and E are terminating. The denominators in A and B are composed solely of 2's, and in E, we have 10^10 = (2*5)^10, and thus consists solely of 2's and 5's. D) (3^9)/(6^7) = (3^9)/(2^7 * 3^7) = (3^2)/(2^7). The denominator consists solely of 2's and so the decimal will terminate. That leaves us with C. (There's really no need to evaluate it, as we already know that A, B, D, and E are all terminating, but if you want to confirm... (3^8)/(6^10) = 3^8/(3^10 * 2^10) = 1/(3^2 * 2^10). Notice the 3^2 in the denominator. Because we have a prime base aside from 2 and 5 in the reduced fraction, we know that this decimal will not terminate. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for $0 Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 49 first replies
2 Brent@GMATPrepNow 39 first replies
3 Jay@ManhattanReview 35 first replies
4 GMATGuruNY 29 first replies
5 ceilidh.erickson 14 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

206 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

82 posts
4 Ian Stewart

GMATiX Teacher

56 posts
5 GMATGuruNY

The Princeton Review Teacher

50 posts
See More Top Beat The GMAT Experts