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OG2016 - fractions

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
Joined
25 Apr 2016
Posted:
93 messages
Upvotes:
1

OG2016 - fractions

Post Sun May 01, 2016 9:39 am
1/(1+1/3) - 1/ (1+1/2) =

A) -1/3
B) -1/6
C) -1/12
D) 1/12
E) 1/3

OA: D

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OptimusPrep Master | Next Rank: 500 Posts
Joined
13 Mar 2015
Posted:
410 messages
Followed by:
7 members
Upvotes:
120
GMAT Score:
770
Post Mon May 02, 2016 7:28 pm
boomgoesthegmat wrote:
1/(1+1/3) - 1/ (1+1/2) =

A) -1/3
B) -1/6
C) -1/12
D) 1/12
E) 1/3

OA: D
Such questions might look intimidating at first, but if we solve one fraction at a time, we can easily solve them

1/(1+1/3) - 1/ (1+1/2) = 1/(4/3) - 1/(3/2) = 3/4 - 2/3 = (9-8)/12 = 1/12

Correct option: D

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GMAT/MBA Expert

Post Sun May 01, 2016 9:45 am
boomgoesthegmat wrote:
1/(1+1/3) - 1/ (1+1/2) =

A) -1/3
B) -1/6
C) -1/12
D) 1/12
E) 1/3
USEFUL/IMPORTANT rule: 1/(a/b) = b/a
So, 1/(3/2) = 2/3
And 1/(5/6) = 6/5
etc...

Now onto the question....
1/(1 + 1/3) - 1/ (1+1/2) = 1/(4/3) - 1/ (3/2)
= 3/4 - 2/3
= 9/12 - 8/12
= 1/12
= D

Cheers,
Brent

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