Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: Which of the following is a terminating decimal, when [#permalink]

Show Tags

17 Sep 2012, 06:44

3

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

Vamshi8411 wrote:

Which of the following is a terminating decimal, when expressed in decimals?

A. 17/223 B. 13/231 C. 41/3 D. 41/256 E. 35/324

Can we do this just by taking the unit digit in numerator and denominator?

Reduced fraction \(\frac{a}{b}\) (meaning that fraction is already reduced to its lowest term) can be expressed as terminating decimal if and only \(b\) (denominator) is of the form \(2^n5^m\), where \(m\) and \(n\) are non-negative integers. For example: \(\frac{7}{250}\) is a terminating decimal \(0.028\), as \(250\) (denominator) equals to \(2*5^2\). Fraction \(\frac{3}{30}\) is also a terminating decimal, as \(\frac{3}{30}=\frac{1}{10}\) and denominator \(10=2*5\).

BACK TO THE QUESTION:

\(\frac{41}{256}=\frac{41}{2^8}\), denominator has only prime factor 2 in its prime factorization, hence this fraction will be terminating decimal.

All other fractions (after reducing, if possible) have primes other than 2 and 5 in its prime factorization, hence they will be repeated decimals.

Re: Which of the following is a terminating decimal, when [#permalink]

Show Tags

24 Jun 2013, 01:16

3

This post received KUDOS

1

This post was BOOKMARKED

prateekbhatt wrote:

Is it only limited to 2^m * 5^n or we can try try to break it in 2^m * 3^n as well??

Hi prateekbhatt

The fraction a/b is a terminating fraction only if the denominator b meets any of following conditions

(1) the denominator is a form of 2^n (2) the denominator is a form of 5^m (3) the denominator is a form of 2^n*5^m

If the denominator is a form of 2^n*3^m ==> The fraction is not terminating decimal.

Hope it helps. _________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Re: Which of the following is a terminating decimal, when [#permalink]

Show Tags

04 Jul 2014, 05:28

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: Which of the following is a terminating decimal, when [#permalink]

Show Tags

07 Aug 2014, 00:33

bumpbot wrote:

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

----------

Is this a 600+ question?

Or below 600? _________________

If you found this post useful for your prep, click 'Kudos'

Re: Which of the following is a terminating decimal, when [#permalink]

Show Tags

07 Aug 2014, 01:59

alphonsa wrote:

bumpbot wrote:

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

----------

Is this a 600+ question?

Or below 600?

This should be a 600+ question; however by perfect method used (as stated by Bunuel) it can be solved in hardly 5 seconds _________________

Last year when I attended a session of Chicago’s Booth Live , I felt pretty out of place. I was surrounded by professionals from all over the world from major...

I recently returned from attending the London Business School Admits Weekend held last week. Let me just say upfront - for those who are planning to apply for the...