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Simple fraction

This topic has 4 expert replies and 0 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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Simple fraction

Post Mon Jul 03, 2017 8:32 pm
Since denominator is negative, we know the answer must be negative. Are there other secrets to doing this faster?

1/(0.75 - 1) =

A) -4
B) -0.25
C) 0.25
D) 0.75
E) 4

A

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Post Wed Jul 05, 2017 1:07 am
1/(.75 - 1) =>

1/(-.25) =>

-(1/.25) =>

-1/(1/4) =>

-4

I wouldn't worry about speed here since this is about as quick a GMAT problem as I can recall - is it from the OG?

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Post Tue Jul 04, 2017 9:46 am
Hi AbeNeedsAnswers,

From a 'concept' standpoint, increasing or decreasing the denominator of a fraction will impact whether the fraction increases or decreases in value.

For example, if we're dealing with a positive fraction....

eg. 1/4

Decreasing the denominator makes the fraction BIGGER (e.g.. 1/3 is greater than 1/4)
Increasing the denominator makes the fraction SMALLER (e.g.. 1/5 is less than 1/4)

In this question, we're dealing with a positive numerator and a NEGATIVE denominator, so similar patterns will occur.

eg. 1/-3

As the denominator gets FARTHER from 0, the fraction gets CLOSER to 0 (-1/4 is closer to 0 than -1/3 is)
As the denominator gets CLOSER to 0, the fraction gets FARTHER from 0 (-1/2 is farther from 0 than -1/3 is)

In this question, since the denominator is - .25, that means the value of 1/(-.25) is FARTHER from 0 than 1/-1 is. There's only one answer that fits that pattern.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

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GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
Followed by:
113 members
Upvotes:
625
Target GMAT Score:
V51
GMAT Score:
780
Most Active Expert Most Responsive Expert Most Thanked Expert
Post Wed Jul 05, 2017 1:07 am
1/(.75 - 1) =>

1/(-.25) =>

-(1/.25) =>

-1/(1/4) =>

-4

I wouldn't worry about speed here since this is about as quick a GMAT problem as I can recall - is it from the OG?

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  • Flag
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Post Tue Jul 04, 2017 9:46 am
Hi AbeNeedsAnswers,

From a 'concept' standpoint, increasing or decreasing the denominator of a fraction will impact whether the fraction increases or decreases in value.

For example, if we're dealing with a positive fraction....

eg. 1/4

Decreasing the denominator makes the fraction BIGGER (e.g.. 1/3 is greater than 1/4)
Increasing the denominator makes the fraction SMALLER (e.g.. 1/5 is less than 1/4)

In this question, we're dealing with a positive numerator and a NEGATIVE denominator, so similar patterns will occur.

eg. 1/-3

As the denominator gets FARTHER from 0, the fraction gets CLOSER to 0 (-1/4 is closer to 0 than -1/3 is)
As the denominator gets CLOSER to 0, the fraction gets FARTHER from 0 (-1/2 is farther from 0 than -1/3 is)

In this question, since the denominator is - .25, that means the value of 1/(-.25) is FARTHER from 0 than 1/-1 is. There's only one answer that fits that pattern.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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