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:

Smallest & Largest Fractions: How To? [#permalink]

Show Tags

12 Jun 2010, 01:57

1

This post was BOOKMARKED

If we are given a few fractions like:

Q1) 6/7 , 7/8 , 9/10 , 12/13 , 34/35

Q2) 3/8 , 5/7 , 7/8 , 9/12

And we are asked to find the smallest or the largest of the given fractions then what is the best, fool proof and above all the quickest strategy to solve such questions?

Re: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

12 Jun 2010, 04:13

1

This post received KUDOS

Question 1 - See the pattern -> difference between the numerator and denominator is 1 in all the options. So go with the option with largest integers (like 1/2 is always smaller than 2/3). Clearly the last option

Question 2 - Here the difference between numerator and denominator is not equal in all options

Use this method -> cross multiply the options. Lets take 3/8 on left side and 5/7 on right side (3/8 = 5/7). This will give 21 on left side 40 on right side (21 = 40). Option with greater number will always be greater, so in this case 5/7 is greater than 3/8. You can check all option this way.

I dont think GMAT ever gives large fractions without common difference between numerator and denominator.

Both the methods are full proof and can never go wrong.

Re: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

18 Jun 2010, 07:30

farukhawais wrote:

If we are given a few fractions like:

Q1) 6/7 , 7/8 , 9/10 , 12/13 , 34/35

Q2) 3/8 , 5/7 , 7/8 , 9/12

And we are asked to find the smallest or the largest of the given fractions then what is the best, fool proof and above all the quickest strategy to solve such questions?

Honestly, you should probably know what 1/2, 1/3, 1/4, 1/5, 1/6, 1/7 and 1/8 are in decimal terms without having to do any calculations. This will be very handy on the exam.

Re: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

18 Jun 2010, 10:44

Thanks for the response.

Do you have what you may call a "cheat sheet" or a "tips sheet" or a "cram sheet": that would have all the important things that I ought to remember. Especially containing fractions, multiplication tables, squares, cubes, square roots etc. Of course I can make my own any time but perhaps you would have something that has been aptly prepared while considering the type of arithmetic we would get to solve on GMAT.

Being an engineer, I normally have never learnt such things by heart. Calculator has always been my best friend. But now that I am planning to sit for GMAT, I would appreciate if you can share some relevant info; that is: things that I need to remember to shorten the time to answer quant questions.

Re: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

18 Jun 2010, 11:20

^I feel your pain.

After using the my fin. calculator for the last 2 years. Its been very hard to part from it. So tempted to use it, but I made sure to take out the batteries...

Re: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

17 Jul 2014, 21:51

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: Smallest & Largest Fractions: How To? [#permalink]

Show Tags

15 Aug 2016, 00:38

Here are some rules that will help you compare the fractions=> For question 1 => Adding same thing to both the numerator and the denominator brings the fraction closer to one. Hence there are two cases => Case 1 - If the fraction is proper ->(0,1) :- then the value will increase Case 2 => if the concerned fraction is Improper -> (1,∞) :- then the value of the concern fraction will decrease

For Question 2=> Just simply divide them here. The fractions involved are too easy for the ease of calculations.

I like to start these by finding pairs of numbers in which one is clearly greater/smaller than the other. Then, if you're looking for the greatest number, you can eliminate the smallest in any pair. For instance, in your second question, 7/8 is clearly greater than 3/8, so I eliminate 3/8. (Writing 'A B C D E' on your paper as you start can be helpful.) Then, notice that 9/12 = 3/4 = 6/8, which is also smaller than 7/8. The only two candidates remaining are 7/8 and 5/7, so cross-multiply those. Whichever one is greater is the answer.
_________________

Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...