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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = tagged by: M7MBA ##### This topic has 3 expert replies and 0 member replies ## 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = A. 0 B. 2/15 C. 2/5 D. 9/20 E. 5/6 The OA is A. Experts, is there a fast way to solve this? There are many fractions. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12982 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply M7MBA wrote: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = A. 0 B. 2/15 C. 2/5 D. 9/20 E. 5/6 For integers x and y, we can say: 1/x + 1/y = (x + y)/xy Applying this property, we get: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = (3 + 2)/(3)(2) - 5/6 + (5 + 4)/(5)(4)- 9/20 = 5/6 - 5/6 + 9/20 - 9/20 = 0 = A Cheers. Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 M7MBA wrote: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = A. 0 B. 2/15 C. 2/5 D. 9/20 E. 5/6 The OA is A. Experts, is there a fast way to solve this? There are many fractions. Split it into two pieces, each of which allows for an easy calculation for your common denominator Piece One: 1/3 + 1/2 - 5/6 3/6 + 2/6 - 5/6 = 5/6 - 5/6 = 0 Piece Two: 1/5 + 1/4 - 9/20 4/20 + 5/20 - 9/20 = 9/20 - 9/20 = 0 0 + 0 = 0. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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M7MBA wrote:
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A. 0
B. 2/15
C. 2/5
D. 9/20
E. 5/6
Set the equation equal to x and multiply by the LCM of the denominators (60):

x = 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20

60x = 60(1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20)

60x = 20 + 30 - 50 + 12 + 15 - 27

60x = 50 - 50 + 27 - 27

60x = 0

x = 0.

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