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: Of the following, which is least? [#permalink]

Show Tags

26 May 2016, 21:12

3

This post received KUDOS

nalinnair wrote:

Of the following, which is least?

A. \(\frac{0.03}{0.00071}\) B. \(\frac{0.03}{0.0071}\) C. \(\frac{0.03}{0.071}\) D. \(\frac{0.03}{0.71}\) E. \(\frac{0.03}{7.1}\)

Each of these can be written as a multiple of (3/71)

A) \(\frac{3}{71}\) * [(\(10^{-2}\))/(\(10^{-5}\))], which is nothing but [(\(10^{-2}\))X(\(10^5\))], which is \(10^3\) B) \(\frac{3}{71}\) * [(\(10^{-2}\))/(\(10^{-4}\))], which is nothing but [(\(10^{-2}\))X(\(10^4\))], which is \(10^2\) C) \(\frac{3}{71}\) * [(\(10^{-2}\))/(\(10^{-3}\))], which is nothing but [(\(10^{-2}\))X(\(10^3\))], which is \(10^1\) D) \(\frac{3}{71}\) * [(\(10^{-2}\))/(\(10^{-2}\))], which is nothing but [(\(10^{-2}\))X(\(10^2\))], which is \(10^0\) = 1 E) \(\frac{3}{71}\) * [(\(10^{-2}\))/(\(10^{-1}\))], which is nothing but [(\(10^{-2}\))X(\(10^1\))], which is \(10^-1\)= 0.1

Re: Of the following, which is least? [#permalink]

Show Tags

27 Sep 2016, 11:29

nalinnair wrote:

Of the following, which is least?

A. \(\frac{0.03}{0.00071}\) B. \(\frac{0.03}{0.0071}\) C. \(\frac{0.03}{0.071}\) D. \(\frac{0.03}{0.71}\) E. \(\frac{0.03}{7.1}\)

all the possible answers' nominators are 0.03

therefore, the one with the bigger denominator has to be the one with the lowest value (value of the fraction and value of the denominator are always negatively correlated)

All 5 numerators are 0.03 So, we'll use the property that says "the bigger the denominator, the smaller the value of the fraction" For example, 17/31 is less than 17/30 And 321/555 is less than 321/534 And 12/6 is less than 12/4

Now let's check the denominators among the answer choices.... The biggest denominator is 7.1, so the correct answer is E

If students didn't see the fast answer (in my above post), here's another (slightly longer approach):

Let's create equivalent fractions with the same denominator. Let's make each denominator 7.1

A. \(\frac{0.03}{0.00071}\) To get a denominator of 7.1, we must take 0.00071 and move the decimal 4 places to the right. So, we'll multiply numerator and denominator by 10,000 When we do this, we get: \(\frac{300}{7.1}\)

B. \(\frac{0.03}{0.0071}\) To get a denominator of 7.1, we must take 0.0071 and move the decimal 3 places to the right. So, we'll multiply numerator and denominator by 1,000 When we do this, we get: \(\frac{30}{7.1}\)

C. \(\frac{0.03}{0.071}\) To get a denominator of 7.1, we must take 0.071 and move the decimal 2 places to the right. So, we'll multiply numerator and denominator by 100 When we do this, we get: \(\frac{3}{7.1}\)

D. \(\frac{0.03}{0.71}\) To get a denominator of 7.1, we must take 0.71 and move the decimal 1 place to the right. So, we'll multiply numerator and denominator by 10 When we do this, we get: \(\frac{0.3}{7.1}\)

E. \(\frac{0.03}{7.1}\) This already has a denominator of 7.1

Now that we have the same denominator, we can that \(\frac{0.03}{7.1}\) is the smallest fraction. Answer: E

Re: Of the following, which is least? [#permalink]

Show Tags

22 Aug 2017, 22:05

Given that the demonimator is same value 71 in each case, the problem can be solved by considering 3/71 in each options and expressing them as power of 10.Going by that option E is the right choice.it is the least since the denominator is greater that the numerator.

Re: Of the following, which is least? [#permalink]

Show Tags

22 Aug 2017, 22:54

All the numerators are the same. Hence the fraction with the largest denominator will be the smallest fraction. Option E has the largest denominator among all options.

Bunuel. Do you have any shortcut solution to share other than division?

I think that the fastest approach is given HERE. All the numerators are equal, so the smallest fraction will be the one with largest denominator (true for positive fractions).
_________________